# What are all the factors, the prime factorization, and factor pairs of 745000?

To find the factors of 745000, divide 745000 by each number starting with 1 and working up to 745000

## 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 745000 ?

To calculate the factors of 745000 , you can use the division method.

1. Begin by dividing 745000 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 745000.

3. Continue dividing 745000 by larger numbers until you find an odd number that does not divide evenly into 745000 .

4. The numbers that divide evenly into 745000 are the factors of 745000 .

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

745000 ÷ 1 = 745000
745000 ÷ 2 = 372500
745000 ÷ 4 = 186250
745000 ÷ 5 = 149000
745000 ÷ 8 = 93125
745000 ÷ 10 = 74500
745000 ÷ 20 = 37250
745000 ÷ 25 = 29800
745000 ÷ 40 = 18625
745000 ÷ 50 = 14900
745000 ÷ 100 = 7450
745000 ÷ 125 = 5960
745000 ÷ 149 = 5000
745000 ÷ 200 = 3725
745000 ÷ 250 = 2980
745000 ÷ 298 = 2500
745000 ÷ 500 = 1490
745000 ÷ 596 = 1250
745000 ÷ 625 = 1192
745000 ÷ 745 = 1000
745000 ÷ 1000 = 745
745000 ÷ 1192 = 625
745000 ÷ 1250 = 596
745000 ÷ 1490 = 500
745000 ÷ 2500 = 298
745000 ÷ 2980 = 250
745000 ÷ 3725 = 200
745000 ÷ 5000 = 149
745000 ÷ 5960 = 125
745000 ÷ 7450 = 100
745000 ÷ 14900 = 50
745000 ÷ 18625 = 40
745000 ÷ 29800 = 25
745000 ÷ 37250 = 20
745000 ÷ 74500 = 10
745000 ÷ 93125 = 8
745000 ÷ 149000 = 5
745000 ÷ 186250 = 4
745000 ÷ 372500 = 2
745000 ÷ 745000 = 1

As you can see, the factors of 745000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 149 , 200 , 250 , 298 , 500 , 596 , 625 , 745 , 1000 , 1192 , 1250 , 1490 , 2500 , 2980 , 3725 , 5000 , 5960 , 7450 , 14900 , 18625 , 29800 , 37250 , 74500 , 93125 , 149000 , 186250 , 372500 and 745000 .

## How many factors of 745000 are there ?

The factors of 745000 are the numbers that can evenly divide 745000 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 149 , 200 , 250 , 298 , 500 , 596 , 625 , 745 , 1000 , 1192 , 1250 , 1490 , 2500 , 2980 , 3725 , 5000 , 5960 , 7450 , 14900 , 18625 , 29800 , 37250 , 74500 , 93125 , 149000 , 186250 , 372500 and 745000.

Thus, there are a total of 40 factors of 745000

## What are the factor pairs of 745000 ?

Factor Pairs of 745000 are combinations of two factors that when multiplied together equal 745000. There are many ways to calculate the factor pairs of 745000 .

One easy way is to list out the factors of 745000 :
1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 149 , 200 , 250 , 298 , 500 , 596 , 625 , 745 , 1000 , 1192 , 1250 , 1490 , 2500 , 2980 , 3725 , 5000 , 5960 , 7450 , 14900 , 18625 , 29800 , 37250 , 74500 , 93125 , 149000 , 186250 , 372500 , 745000

Then, pair up the factors:
(1,745000),(2,372500),(4,186250),(5,149000),(8,93125),(10,74500),(20,37250),(25,29800),(40,18625),(50,14900),(100,7450),(125,5960),(149,5000),(200,3725),(250,2980),(298,2500),(500,1490),(596,1250),(625,1192) and (745,1000) These are the factor pairs of 745000 .

## Prime Factorisation of 745000

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 745000 using a factor tree, we would start by writing 745000 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 745000 would be 2 x 2 x 2 x 5 x 5 x 5 x 5 x 149.

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 745000 using this method, we keep dividing until it gives a non-zero remainder.

745000 ÷ 2 = 372500
372500 ÷ 2 = 186250
186250 ÷ 2 = 93125
93125 ÷ 5 = 18625
18625 ÷ 5 = 3725
3725 ÷ 5 = 745
745 ÷ 5 = 149
149 ÷ 149 = 1

So the prime factors of 745000 are 2 x 2 x 2 x 5 x 5 x 5 x 5 x 149.

## Frequently Asked Questions on Factors

### What are all the factors of 745000 ?

The factors of 745000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 149 , 200 , 250 , 298 , 500 , 596 , 625 , 745 , 1000 , 1192 , 1250 , 1490 , 2500 , 2980 , 3725 , 5000 , 5960 , 7450 , 14900 , 18625 , 29800 , 37250 , 74500 , 93125 , 149000 , 186250 , 372500 and 745000.

### What is the prime factorization of 745000 ?

The prime factorization of 745000 is 2 x 2 x 2 x 5 x 5 x 5 x 5 x 149 or 23 x 54 x 1491, where 2 , 5 , 149 are the prime numbers .

### What are the prime factors of 745000 ?

The prime factors of 745000 are 2 , 5 , 149 .

### Is 745000 a prime number ?

A prime number is a number that has only two factors 1 and itself.
745000 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 149 , 200 , 250 , 298 , 500 , 596 , 625 , 745 , 1000 , 1192 , 1250 , 1490 , 2500 , 2980 , 3725 , 5000 , 5960 , 7450 , 14900 , 18625 , 29800 , 37250 , 74500 , 93125 , 149000 , 186250 , 372500 and 745000.