Q: What are the factor combinations of the number 31,572,563?

 A:
Positive:   1 x 3157256311 x 287023361 x 517583211 x 149633223 x 141581671 x 470532321 x 136032453 x 12871
Negative: -1 x -31572563-11 x -2870233-61 x -517583-211 x -149633-223 x -141581-671 x -47053-2321 x -13603-2453 x -12871


How do I find the factor combinations of the number 31,572,563?

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 31,572,563, 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 31,572,563
-1 -31,572,563

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 31,572,563.

Example:
1 x 31,572,563 = 31,572,563
and
-1 x -31,572,563 = 31,572,563
Notice both answers equal 31,572,563

With that explanation out of the way, let's continue. Next, we take the number 31,572,563 and divide it by 2:

31,572,563 ÷ 2 = 15,786,281.5

If the quotient is a whole number, then 2 and 15,786,281.5 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 31,572,563
-1 -31,572,563

Now, we try dividing 31,572,563 by 3:

31,572,563 ÷ 3 = 10,524,187.6667

If the quotient is a whole number, then 3 and 10,524,187.6667 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 31,572,563
-1 -31,572,563

Let's try dividing by 4:

31,572,563 ÷ 4 = 7,893,140.75

If the quotient is a whole number, then 4 and 7,893,140.75 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 31,572,563
-1 31,572,563
Keep dividing by the next highest number until you cannot divide anymore.

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

111612112236712,3212,45312,87113,60347,053141,581149,633517,5832,870,23331,572,563
-1-11-61-211-223-671-2,321-2,453-12,871-13,603-47,053-141,581-149,633-517,583-2,870,233-31,572,563

More Examples

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