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 42000 ?
To calculate the factors of 42000 , you can use the division method.
1. Begin by dividing 42000 by the smallest possible number, which is 2.
2. If the division is even, then 2 is a factor of 42000.
3. Continue dividing 42000 by larger numbers until you find an odd number that does not divide evenly into 42000 .
4. The numbers that divide evenly into 42000 are the factors of 42000 .
Now let us find how to calculate all the factors of Forty-two thousand :
42000 ÷ 1 = 42000
42000 ÷ 2 = 21000
42000 ÷ 3 = 14000
42000 ÷ 4 = 10500
42000 ÷ 5 = 8400
42000 ÷ 6 = 7000
42000 ÷ 7 = 6000
42000 ÷ 8 = 5250
42000 ÷ 10 = 4200
42000 ÷ 12 = 3500
42000 ÷ 14 = 3000
42000 ÷ 15 = 2800
42000 ÷ 16 = 2625
42000 ÷ 20 = 2100
42000 ÷ 21 = 2000
42000 ÷ 24 = 1750
42000 ÷ 25 = 1680
42000 ÷ 28 = 1500
42000 ÷ 30 = 1400
42000 ÷ 35 = 1200
42000 ÷ 40 = 1050
42000 ÷ 42 = 1000
42000 ÷ 48 = 875
42000 ÷ 50 = 840
42000 ÷ 56 = 750
42000 ÷ 60 = 700
42000 ÷ 70 = 600
42000 ÷ 75 = 560
42000 ÷ 80 = 525
42000 ÷ 84 = 500
42000 ÷ 100 = 420
42000 ÷ 105 = 400
42000 ÷ 112 = 375
42000 ÷ 120 = 350
42000 ÷ 125 = 336
42000 ÷ 140 = 300
42000 ÷ 150 = 280
42000 ÷ 168 = 250
42000 ÷ 175 = 240
42000 ÷ 200 = 210
42000 ÷ 210 = 200
42000 ÷ 240 = 175
42000 ÷ 250 = 168
42000 ÷ 280 = 150
42000 ÷ 300 = 140
42000 ÷ 336 = 125
42000 ÷ 350 = 120
42000 ÷ 375 = 112
42000 ÷ 400 = 105
42000 ÷ 420 = 100
42000 ÷ 500 = 84
42000 ÷ 525 = 80
42000 ÷ 560 = 75
42000 ÷ 600 = 70
42000 ÷ 700 = 60
42000 ÷ 750 = 56
42000 ÷ 840 = 50
42000 ÷ 875 = 48
42000 ÷ 1000 = 42
42000 ÷ 1050 = 40
42000 ÷ 1200 = 35
42000 ÷ 1400 = 30
42000 ÷ 1500 = 28
42000 ÷ 1680 = 25
42000 ÷ 1750 = 24
42000 ÷ 2000 = 21
42000 ÷ 2100 = 20
42000 ÷ 2625 = 16
42000 ÷ 2800 = 15
42000 ÷ 3000 = 14
42000 ÷ 3500 = 12
42000 ÷ 4200 = 10
42000 ÷ 5250 = 8
42000 ÷ 6000 = 7
42000 ÷ 7000 = 6
42000 ÷ 8400 = 5
42000 ÷ 10500 = 4
42000 ÷ 14000 = 3
42000 ÷ 21000 = 2
42000 ÷ 42000 = 1
As you can see, the factors of 42000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 and 42000 .
How to Write Numbers in French Similar to 42000?
How many factors of 42000 are there ?
The factors of 42000 are the numbers that can evenly divide 42000 . These numbers are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 and 42000.
Thus, there are a total of 80 factors of 42000
What are the factor pairs of 42000 ?
Factor Pairs of 42000 are combinations of two factors that when multiplied together equal 42000. There are many ways to calculate the factor pairs of 42000 .
One easy way is to list out the factors of 42000 :
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 , 42000
Then, pair up the factors:
(1,42000),(2,21000),(3,14000),(4,10500),(5,8400),(6,7000),(7,6000),(8,5250),(10,4200),(12,3500),(14,3000),(15,2800),(16,2625),(20,2100),(21,2000),(24,1750),(25,1680),(28,1500),(30,1400),(35,1200),(40,1050),(42,1000),(48,875),(50,840),(56,750),(60,700),(70,600),(75,560),(80,525),(84,500),(100,420),(105,400),(112,375),(120,350),(125,336),(140,300),(150,280),(168,250),(175,240) and (200,210)
These are the factor pairs of 42000 .
Prime Factorisation of 42000
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 42000 using a factor tree, we would start by writing 42000 on a piece of paper. Then, we would draw a line under it and begin finding factors.
The final prime factorization of 42000 would be 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 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 42000 using this method, we keep dividing until it gives a non-zero remainder.
42000 ÷ 2 = 21000
21000 ÷ 2 = 10500
10500 ÷ 2 = 5250
5250 ÷ 2 = 2625
2625 ÷ 3 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
So the prime factors of 42000 are 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7.
Frequently Asked Questions on Factors
What are all the factors of 42000 ?
The factors of 42000 are 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 and 42000.
What is the prime factorization of 42000 ?
The prime factorization of 42000 is 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 7 or 24 x 31 x 53 x 71, where 2 , 3 , 5 , 7 are the prime numbers .
What are the prime factors of 42000 ?
The prime factors of 42000 are 2 , 3 , 5 , 7 .
Is 42000 a prime number ?
A prime number is a number that has only two factors 1 and itself.
42000 it is not a prime number
because it has the factors 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 12 , 14 , 15 , 16 , 20 , 21 , 24 , 25 , 28 , 30 , 35 , 40 , 42 , 48 , 50 , 56 , 60 , 70 , 75 , 80 , 84 , 100 , 105 , 112 , 120 , 125 , 140 , 150 , 168 , 175 , 200 , 210 , 240 , 250 , 280 , 300 , 336 , 350 , 375 , 400 , 420 , 500 , 525 , 560 , 600 , 700 , 750 , 840 , 875 , 1000 , 1050 , 1200 , 1400 , 1500 , 1680 , 1750 , 2000 , 2100 , 2625 , 2800 , 3000 , 3500 , 4200 , 5250 , 6000 , 7000 , 8400 , 10500 , 14000 , 21000 and 42000.