Q: What are the factor combinations of the number 52,231,531?

 A:
Positive:   1 x 5223153111 x 474832117 x 307244337 x 1411663187 x 279313407 x 128333629 x 830396919 x 7549
Negative: -1 x -52231531-11 x -4748321-17 x -3072443-37 x -1411663-187 x -279313-407 x -128333-629 x -83039-6919 x -7549


How do I find the factor combinations of the number 52,231,531?

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 52,231,531, 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 52,231,531
-1 -52,231,531

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 52,231,531.

Example:
1 x 52,231,531 = 52,231,531
and
-1 x -52,231,531 = 52,231,531
Notice both answers equal 52,231,531

With that explanation out of the way, let's continue. Next, we take the number 52,231,531 and divide it by 2:

52,231,531 ÷ 2 = 26,115,765.5

If the quotient is a whole number, then 2 and 26,115,765.5 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 52,231,531
-1 -52,231,531

Now, we try dividing 52,231,531 by 3:

52,231,531 ÷ 3 = 17,410,510.3333

If the quotient is a whole number, then 3 and 17,410,510.3333 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 52,231,531
-1 -52,231,531

Let's try dividing by 4:

52,231,531 ÷ 4 = 13,057,882.75

If the quotient is a whole number, then 4 and 13,057,882.75 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 52,231,531
-1 52,231,531
Keep dividing by the next highest number until you cannot divide anymore.

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

11117371874076296,9197,54983,039128,333279,3131,411,6633,072,4434,748,32152,231,531
-1-11-17-37-187-407-629-6,919-7,549-83,039-128,333-279,313-1,411,663-3,072,443-4,748,321-52,231,531

More Examples

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