Q: What are the factor combinations of the number 56,206,565?

 A:
Positive:   1 x 562065655 x 1124131331 x 1813115107 x 525295155 x 362623535 x 1050593317 x 169453389 x 16585
Negative: -1 x -56206565-5 x -11241313-31 x -1813115-107 x -525295-155 x -362623-535 x -105059-3317 x -16945-3389 x -16585


How do I find the factor combinations of the number 56,206,565?

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 56,206,565, 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 56,206,565
-1 -56,206,565

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 56,206,565.

Example:
1 x 56,206,565 = 56,206,565
and
-1 x -56,206,565 = 56,206,565
Notice both answers equal 56,206,565

With that explanation out of the way, let's continue. Next, we take the number 56,206,565 and divide it by 2:

56,206,565 ÷ 2 = 28,103,282.5

If the quotient is a whole number, then 2 and 28,103,282.5 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 56,206,565
-1 -56,206,565

Now, we try dividing 56,206,565 by 3:

56,206,565 ÷ 3 = 18,735,521.6667

If the quotient is a whole number, then 3 and 18,735,521.6667 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 56,206,565
-1 -56,206,565

Let's try dividing by 4:

56,206,565 ÷ 4 = 14,051,641.25

If the quotient is a whole number, then 4 and 14,051,641.25 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 56,206,565
-1 56,206,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15311071555353,3173,38916,58516,945105,059362,623525,2951,813,11511,241,31356,206,565
-1-5-31-107-155-535-3,317-3,389-16,585-16,945-105,059-362,623-525,295-1,813,115-11,241,313-56,206,565

More Examples

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