Q: What are the factor combinations of the number 56,516,735?

 A:
Positive:   1 x 565167355 x 1130334711 x 513788519 x 297456555 x 102757795 x 594913209 x 2704151045 x 54083
Negative: -1 x -56516735-5 x -11303347-11 x -5137885-19 x -2974565-55 x -1027577-95 x -594913-209 x -270415-1045 x -54083


How do I find the factor combinations of the number 56,516,735?

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 56,516,735, 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 56,516,735
-1 -56,516,735

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 56,516,735.

Example:
1 x 56,516,735 = 56,516,735
and
-1 x -56,516,735 = 56,516,735
Notice both answers equal 56,516,735

With that explanation out of the way, let's continue. Next, we take the number 56,516,735 and divide it by 2:

56,516,735 ÷ 2 = 28,258,367.5

If the quotient is a whole number, then 2 and 28,258,367.5 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 56,516,735
-1 -56,516,735

Now, we try dividing 56,516,735 by 3:

56,516,735 ÷ 3 = 18,838,911.6667

If the quotient is a whole number, then 3 and 18,838,911.6667 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 56,516,735
-1 -56,516,735

Let's try dividing by 4:

56,516,735 ÷ 4 = 14,129,183.75

If the quotient is a whole number, then 4 and 14,129,183.75 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 56,516,735
-1 56,516,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04554,083270,415594,9131,027,5772,974,5655,137,88511,303,34756,516,735
-1-5-11-19-55-95-209-1,045-54,083-270,415-594,913-1,027,577-2,974,565-5,137,885-11,303,347-56,516,735

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