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 42400 ?
To calculate the factors of 42400 , you can use the division method.
1. Begin by dividing 42400 by the smallest possible number, which is 2.
2. If the division is even, then 2 is a factor of 42400.
3. Continue dividing 42400 by larger numbers until you find an odd number that does not divide evenly into 42400 .
4. The numbers that divide evenly into 42400 are the factors of 42400 .
Now let us find how to calculate all the factors of Forty-two thousand four hundred :
42400 ÷ 1 = 42400
42400 ÷ 2 = 21200
42400 ÷ 4 = 10600
42400 ÷ 5 = 8480
42400 ÷ 8 = 5300
42400 ÷ 10 = 4240
42400 ÷ 16 = 2650
42400 ÷ 20 = 2120
42400 ÷ 25 = 1696
42400 ÷ 32 = 1325
42400 ÷ 40 = 1060
42400 ÷ 50 = 848
42400 ÷ 53 = 800
42400 ÷ 80 = 530
42400 ÷ 100 = 424
42400 ÷ 106 = 400
42400 ÷ 160 = 265
42400 ÷ 200 = 212
42400 ÷ 212 = 200
42400 ÷ 265 = 160
42400 ÷ 400 = 106
42400 ÷ 424 = 100
42400 ÷ 530 = 80
42400 ÷ 800 = 53
42400 ÷ 848 = 50
42400 ÷ 1060 = 40
42400 ÷ 1325 = 32
42400 ÷ 1696 = 25
42400 ÷ 2120 = 20
42400 ÷ 2650 = 16
42400 ÷ 4240 = 10
42400 ÷ 5300 = 8
42400 ÷ 8480 = 5
42400 ÷ 10600 = 4
42400 ÷ 21200 = 2
42400 ÷ 42400 = 1
As you can see, the factors of 42400 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 53 , 80 , 100 , 106 , 160 , 200 , 212 , 265 , 400 , 424 , 530 , 800 , 848 , 1060 , 1325 , 1696 , 2120 , 2650 , 4240 , 5300 , 8480 , 10600 , 21200 and 42400 .
How to Write Numbers in French Similar to 42400?
How many factors of 42400 are there ?
The factors of 42400 are the numbers that can evenly divide 42400 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 53 , 80 , 100 , 106 , 160 , 200 , 212 , 265 , 400 , 424 , 530 , 800 , 848 , 1060 , 1325 , 1696 , 2120 , 2650 , 4240 , 5300 , 8480 , 10600 , 21200 and 42400.
Thus, there are a total of 36 factors of 42400
What are the factor pairs of 42400 ?
Factor Pairs of 42400 are combinations of two factors that when multiplied together equal 42400. There are many ways to calculate the factor pairs of 42400 .
One easy way is to list out the factors of 42400 :
1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 53 , 80 , 100 , 106 , 160 , 200 , 212 , 265 , 400 , 424 , 530 , 800 , 848 , 1060 , 1325 , 1696 , 2120 , 2650 , 4240 , 5300 , 8480 , 10600 , 21200 , 42400
Then, pair up the factors:
(1,42400),(2,21200),(4,10600),(5,8480),(8,5300),(10,4240),(16,2650),(20,2120),(25,1696),(32,1325),(40,1060),(50,848),(53,800),(80,530),(100,424),(106,400),(160,265) and (200,212)
These are the factor pairs of 42400 .
Prime Factorisation of 42400
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 42400 using a factor tree, we would start by writing 42400 on a piece of paper. Then, we would draw a line under it and begin finding factors.
The final prime factorization of 42400 would be 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53.
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 42400 using this method, we keep dividing until it gives a non-zero remainder.
42400 ÷ 2 = 21200
21200 ÷ 2 = 10600
10600 ÷ 2 = 5300
5300 ÷ 2 = 2650
2650 ÷ 2 = 1325
1325 ÷ 5 = 265
265 ÷ 5 = 53
53 ÷ 53 = 1
So the prime factors of 42400 are 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53.
Frequently Asked Questions on Factors
What are all the factors of 42400 ?
The factors of 42400 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 53 , 80 , 100 , 106 , 160 , 200 , 212 , 265 , 400 , 424 , 530 , 800 , 848 , 1060 , 1325 , 1696 , 2120 , 2650 , 4240 , 5300 , 8480 , 10600 , 21200 and 42400.
What is the prime factorization of 42400 ?
The prime factorization of 42400 is 2 x 2 x 2 x 2 x 2 x 5 x 5 x 53 or 25 x 52 x 531, where 2 , 5 , 53 are the prime numbers .
What are the prime factors of 42400 ?
The prime factors of 42400 are 2 , 5 , 53 .
Is 42400 a prime number ?
A prime number is a number that has only two factors 1 and itself.
42400 it is not a prime number
because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 53 , 80 , 100 , 106 , 160 , 200 , 212 , 265 , 400 , 424 , 530 , 800 , 848 , 1060 , 1325 , 1696 , 2120 , 2650 , 4240 , 5300 , 8480 , 10600 , 21200 and 42400.