Q: What are the factor combinations of the number 37,425,713?

 A:
Positive:   1 x 3742571313 x 287890173 x 512681113 x 331201349 x 107237949 x 394371469 x 254774537 x 8249
Negative: -1 x -37425713-13 x -2878901-73 x -512681-113 x -331201-349 x -107237-949 x -39437-1469 x -25477-4537 x -8249


How do I find the factor combinations of the number 37,425,713?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 37,425,713, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 37,425,713
-1 -37,425,713

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 37,425,713.

Example:
1 x 37,425,713 = 37,425,713
and
-1 x -37,425,713 = 37,425,713
Notice both answers equal 37,425,713

With that explanation out of the way, let's continue. Next, we take the number 37,425,713 and divide it by 2:

37,425,713 ÷ 2 = 18,712,856.5

If the quotient is a whole number, then 2 and 18,712,856.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,425,713
-1 -37,425,713

Now, we try dividing 37,425,713 by 3:

37,425,713 ÷ 3 = 12,475,237.6667

If the quotient is a whole number, then 3 and 12,475,237.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,425,713
-1 -37,425,713

Let's try dividing by 4:

37,425,713 ÷ 4 = 9,356,428.25

If the quotient is a whole number, then 4 and 9,356,428.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 37,425,713
-1 37,425,713
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

113731133499491,4694,5378,24925,47739,437107,237331,201512,6812,878,90137,425,713
-1-13-73-113-349-949-1,469-4,537-8,249-25,477-39,437-107,237-331,201-512,681-2,878,901-37,425,713

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 37,425,713:


Ask a Question