Q: What are the factor combinations of the number 31,727,563?

 A:
Positive:   1 x 317275637 x 453250941 x 773843227 x 139769287 x 110549487 x 651491589 x 199673409 x 9307
Negative: -1 x -31727563-7 x -4532509-41 x -773843-227 x -139769-287 x -110549-487 x -65149-1589 x -19967-3409 x -9307


How do I find the factor combinations of the number 31,727,563?

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 31,727,563, 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 31,727,563
-1 -31,727,563

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 31,727,563.

Example:
1 x 31,727,563 = 31,727,563
and
-1 x -31,727,563 = 31,727,563
Notice both answers equal 31,727,563

With that explanation out of the way, let's continue. Next, we take the number 31,727,563 and divide it by 2:

31,727,563 ÷ 2 = 15,863,781.5

If the quotient is a whole number, then 2 and 15,863,781.5 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 31,727,563
-1 -31,727,563

Now, we try dividing 31,727,563 by 3:

31,727,563 ÷ 3 = 10,575,854.3333

If the quotient is a whole number, then 3 and 10,575,854.3333 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 31,727,563
-1 -31,727,563

Let's try dividing by 4:

31,727,563 ÷ 4 = 7,931,890.75

If the quotient is a whole number, then 4 and 7,931,890.75 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 31,727,563
-1 31,727,563
Keep dividing by the next highest number until you cannot divide anymore.

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

17412272874871,5893,4099,30719,96765,149110,549139,769773,8434,532,50931,727,563
-1-7-41-227-287-487-1,589-3,409-9,307-19,967-65,149-110,549-139,769-773,843-4,532,509-31,727,563

More Examples

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