# What are all the factors, the prime factorization, and factor pairs of 735000?

To find the factors of 735000, divide 735000 by each number starting with 1 and working up to 735000

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 735000 ?

To calculate the factors of 735000 , you can use the division method.

1. Begin by dividing 735000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 735000.

3. Continue dividing 735000 by larger numbers until you find an odd number that does not divide evenly into 735000 .

4. The numbers that divide evenly into 735000 are the factors of 735000 .

Now let us find how to calculate all the factors of Seven hundred thirty-five thousand :

735000 ÷ 1 = 735000
735000 ÷ 2 = 367500
735000 ÷ 3 = 245000
735000 ÷ 4 = 183750
735000 ÷ 5 = 147000
735000 ÷ 6 = 122500
735000 ÷ 7 = 105000
735000 ÷ 8 = 91875
735000 ÷ 10 = 73500
735000 ÷ 12 = 61250
735000 ÷ 14 = 52500
735000 ÷ 15 = 49000
735000 ÷ 20 = 36750
735000 ÷ 21 = 35000
735000 ÷ 24 = 30625
735000 ÷ 25 = 29400
735000 ÷ 28 = 26250
735000 ÷ 30 = 24500
735000 ÷ 35 = 21000
735000 ÷ 40 = 18375
735000 ÷ 42 = 17500
735000 ÷ 49 = 15000
735000 ÷ 50 = 14700
735000 ÷ 56 = 13125
735000 ÷ 60 = 12250
735000 ÷ 70 = 10500
735000 ÷ 75 = 9800
735000 ÷ 84 = 8750
735000 ÷ 98 = 7500
735000 ÷ 100 = 7350
735000 ÷ 105 = 7000
735000 ÷ 120 = 6125
735000 ÷ 125 = 5880
735000 ÷ 140 = 5250
735000 ÷ 147 = 5000
735000 ÷ 150 = 4900
735000 ÷ 168 = 4375
735000 ÷ 175 = 4200
735000 ÷ 196 = 3750
735000 ÷ 200 = 3675
735000 ÷ 210 = 3500
735000 ÷ 245 = 3000
735000 ÷ 250 = 2940
735000 ÷ 280 = 2625
735000 ÷ 294 = 2500
735000 ÷ 300 = 2450
735000 ÷ 350 = 2100
735000 ÷ 375 = 1960
735000 ÷ 392 = 1875
735000 ÷ 420 = 1750
735000 ÷ 490 = 1500
735000 ÷ 500 = 1470
735000 ÷ 525 = 1400
735000 ÷ 588 = 1250
735000 ÷ 600 = 1225
735000 ÷ 625 = 1176
735000 ÷ 700 = 1050
735000 ÷ 735 = 1000
735000 ÷ 750 = 980
735000 ÷ 840 = 875
735000 ÷ 875 = 840
735000 ÷ 980 = 750
735000 ÷ 1000 = 735
735000 ÷ 1050 = 700
735000 ÷ 1176 = 625
735000 ÷ 1225 = 600
735000 ÷ 1250 = 588
735000 ÷ 1400 = 525
735000 ÷ 1470 = 500
735000 ÷ 1500 = 490
735000 ÷ 1750 = 420
735000 ÷ 1875 = 392
735000 ÷ 1960 = 375
735000 ÷ 2100 = 350
735000 ÷ 2450 = 300
735000 ÷ 2500 = 294
735000 ÷ 2625 = 280
735000 ÷ 2940 = 250
735000 ÷ 3000 = 245
735000 ÷ 3500 = 210
735000 ÷ 3675 = 200
735000 ÷ 3750 = 196
735000 ÷ 4200 = 175
735000 ÷ 4375 = 168
735000 ÷ 4900 = 150
735000 ÷ 5000 = 147
735000 ÷ 5250 = 140
735000 ÷ 5880 = 125
735000 ÷ 6125 = 120
735000 ÷ 7000 = 105
735000 ÷ 7350 = 100
735000 ÷ 7500 = 98
735000 ÷ 8750 = 84
735000 ÷ 9800 = 75
735000 ÷ 10500 = 70
735000 ÷ 12250 = 60
735000 ÷ 13125 = 56
735000 ÷ 14700 = 50
735000 ÷ 15000 = 49
735000 ÷ 17500 = 42
735000 ÷ 18375 = 40
735000 ÷ 21000 = 35
735000 ÷ 24500 = 30
735000 ÷ 26250 = 28
735000 ÷ 29400 = 25
735000 ÷ 30625 = 24
735000 ÷ 35000 = 21
735000 ÷ 36750 = 20
735000 ÷ 49000 = 15
735000 ÷ 52500 = 14
735000 ÷ 61250 = 12
735000 ÷ 73500 = 10
735000 ÷ 91875 = 8
735000 ÷ 105000 = 7
735000 ÷ 122500 = 6
735000 ÷ 147000 = 5
735000 ÷ 183750 = 4
735000 ÷ 245000 = 3
735000 ÷ 367500 = 2
735000 ÷ 735000 = 1

As you can see, the factors of 735000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 49 , 50 , 56 , 60 , 70 , 75 , 84 , 98 , 100 , 105 , 120 , 125 , 140 , 147 , 150 , 168 , 175 , 196 , 200 , 210 , 245 , 250 , 280 , 294 , 300 , 350 , 375 , 392 , 420 , 490 , 500 , 525 , 588 , 600 , 625 , 700 , 735 , 750 , 840 , 875 , 980 , 1000 , 1050 , 1176 , 1225 , 1250 , 1400 , 1470 , 1500 , 1750 , 1875 , 1960 , 2100 , 2450 , 2500 , 2625 , 2940 , 3000 , 3500 , 3675 , 3750 , 4200 , 4375 , 4900 , 5000 , 5250 , 5880 , 6125 , 7000 , 7350 , 7500 , 8750 , 9800 , 10500 , 12250 , 13125 , 14700 , 15000 , 17500 , 18375 , 21000 , 24500 , 26250 , 29400 , 30625 , 35000 , 36750 , 49000 , 52500 , 61250 , 73500 , 91875 , 105000 , 122500 , 147000 , 183750 , 245000 , 367500 and 735000 .

## How many factors of 735000 are there ?

The factors of 735000 are the numbers that can evenly divide 735000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 49 , 50 , 56 , 60 , 70 , 75 , 84 , 98 , 100 , 105 , 120 , 125 , 140 , 147 , 150 , 168 , 175 , 196 , 200 , 210 , 245 , 250 , 280 , 294 , 300 , 350 , 375 , 392 , 420 , 490 , 500 , 525 , 588 , 600 , 625 , 700 , 735 , 750 , 840 , 875 , 980 , 1000 , 1050 , 1176 , 1225 , 1250 , 1400 , 1470 , 1500 , 1750 , 1875 , 1960 , 2100 , 2450 , 2500 , 2625 , 2940 , 3000 , 3500 , 3675 , 3750 , 4200 , 4375 , 4900 , 5000 , 5250 , 5880 , 6125 , 7000 , 7350 , 7500 , 8750 , 9800 , 10500 , 12250 , 13125 , 14700 , 15000 , 17500 , 18375 , 21000 , 24500 , 26250 , 29400 , 30625 , 35000 , 36750 , 49000 , 52500 , 61250 , 73500 , 91875 , 105000 , 122500 , 147000 , 183750 , 245000 , 367500 and 735000.

Thus, there are a total of 120 factors of 735000

## What are the factor pairs of 735000 ?

Factor Pairs of 735000 are combinations of two factors that when multiplied together equal 735000. There are many ways to calculate the factor pairs of 735000 .

One easy way is to list out the factors of 735000 :
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 49 , 50 , 56 , 60 , 70 , 75 , 84 , 98 , 100 , 105 , 120 , 125 , 140 , 147 , 150 , 168 , 175 , 196 , 200 , 210 , 245 , 250 , 280 , 294 , 300 , 350 , 375 , 392 , 420 , 490 , 500 , 525 , 588 , 600 , 625 , 700 , 735 , 750 , 840 , 875 , 980 , 1000 , 1050 , 1176 , 1225 , 1250 , 1400 , 1470 , 1500 , 1750 , 1875 , 1960 , 2100 , 2450 , 2500 , 2625 , 2940 , 3000 , 3500 , 3675 , 3750 , 4200 , 4375 , 4900 , 5000 , 5250 , 5880 , 6125 , 7000 , 7350 , 7500 , 8750 , 9800 , 10500 , 12250 , 13125 , 14700 , 15000 , 17500 , 18375 , 21000 , 24500 , 26250 , 29400 , 30625 , 35000 , 36750 , 49000 , 52500 , 61250 , 73500 , 91875 , 105000 , 122500 , 147000 , 183750 , 245000 , 367500 , 735000

Then, pair up the factors:
(1,735000),(2,367500),(3,245000),(4,183750),(5,147000),(6,122500),(7,105000),(8,91875),(10,73500),(12,61250),(14,52500),(15,49000),(20,36750),(21,35000),(24,30625),(25,29400),(28,26250),(30,24500),(35,21000),(40,18375),(42,17500),(49,15000),(50,14700),(56,13125),(60,12250),(70,10500),(75,9800),(84,8750),(98,7500),(100,7350),(105,7000),(120,6125),(125,5880),(140,5250),(147,5000),(150,4900),(168,4375),(175,4200),(196,3750),(200,3675),(210,3500),(245,3000),(250,2940),(280,2625),(294,2500),(300,2450),(350,2100),(375,1960),(392,1875),(420,1750),(490,1500),(500,1470),(525,1400),(588,1250),(600,1225),(625,1176),(700,1050),(735,1000),(750,980) and (840,875) These are the factor pairs of 735000 .

## Prime Factorisation of 735000

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 735000 using a factor tree, we would start by writing 735000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 735000 would be 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7 x 7.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 735000 using this method, we keep dividing until it gives a non-zero remainder.

735000 ÷ 2 = 367500
367500 ÷ 2 = 183750
183750 ÷ 2 = 91875
91875 ÷ 3 = 30625
30625 ÷ 5 = 6125
6125 ÷ 5 = 1225
1225 ÷ 5 = 245
245 ÷ 5 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1

So the prime factors of 735000 are 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7 x 7.

## Frequently Asked Questions on Factors

### What are all the factors of 735000 ?

The factors of 735000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 49 , 50 , 56 , 60 , 70 , 75 , 84 , 98 , 100 , 105 , 120 , 125 , 140 , 147 , 150 , 168 , 175 , 196 , 200 , 210 , 245 , 250 , 280 , 294 , 300 , 350 , 375 , 392 , 420 , 490 , 500 , 525 , 588 , 600 , 625 , 700 , 735 , 750 , 840 , 875 , 980 , 1000 , 1050 , 1176 , 1225 , 1250 , 1400 , 1470 , 1500 , 1750 , 1875 , 1960 , 2100 , 2450 , 2500 , 2625 , 2940 , 3000 , 3500 , 3675 , 3750 , 4200 , 4375 , 4900 , 5000 , 5250 , 5880 , 6125 , 7000 , 7350 , 7500 , 8750 , 9800 , 10500 , 12250 , 13125 , 14700 , 15000 , 17500 , 18375 , 21000 , 24500 , 26250 , 29400 , 30625 , 35000 , 36750 , 49000 , 52500 , 61250 , 73500 , 91875 , 105000 , 122500 , 147000 , 183750 , 245000 , 367500 and 735000.

### What is the prime factorization of 735000 ?

The prime factorization of 735000 is 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7 x 7 or 23 x 31 x 54 x 72, where 2 , 3 , 5 , 7 are the prime numbers .

### What are the prime factors of 735000 ?

The prime factors of 735000 are 2 , 3 , 5 , 7 .

### Is 735000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
735000 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 49 , 50 , 56 , 60 , 70 , 75 , 84 , 98 , 100 , 105 , 120 , 125 , 140 , 147 , 150 , 168 , 175 , 196 , 200 , 210 , 245 , 250 , 280 , 294 , 300 , 350 , 375 , 392 , 420 , 490 , 500 , 525 , 588 , 600 , 625 , 700 , 735 , 750 , 840 , 875 , 980 , 1000 , 1050 , 1176 , 1225 , 1250 , 1400 , 1470 , 1500 , 1750 , 1875 , 1960 , 2100 , 2450 , 2500 , 2625 , 2940 , 3000 , 3500 , 3675 , 3750 , 4200 , 4375 , 4900 , 5000 , 5250 , 5880 , 6125 , 7000 , 7350 , 7500 , 8750 , 9800 , 10500 , 12250 , 13125 , 14700 , 15000 , 17500 , 18375 , 21000 , 24500 , 26250 , 29400 , 30625 , 35000 , 36750 , 49000 , 52500 , 61250 , 73500 , 91875 , 105000 , 122500 , 147000 , 183750 , 245000 , 367500 and 735000.