Q: What are the factor combinations of the number 56,352,025?

 A:
Positive:   1 x 563520255 x 1127040517 x 331482525 x 225408167 x 84107585 x 662965335 x 168215425 x 1325931139 x 494751675 x 336431979 x 284755695 x 9895
Negative: -1 x -56352025-5 x -11270405-17 x -3314825-25 x -2254081-67 x -841075-85 x -662965-335 x -168215-425 x -132593-1139 x -49475-1675 x -33643-1979 x -28475-5695 x -9895


How do I find the factor combinations of the number 56,352,025?

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 56,352,025, 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 56,352,025
-1 -56,352,025

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 56,352,025.

Example:
1 x 56,352,025 = 56,352,025
and
-1 x -56,352,025 = 56,352,025
Notice both answers equal 56,352,025

With that explanation out of the way, let's continue. Next, we take the number 56,352,025 and divide it by 2:

56,352,025 ÷ 2 = 28,176,012.5

If the quotient is a whole number, then 2 and 28,176,012.5 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 56,352,025
-1 -56,352,025

Now, we try dividing 56,352,025 by 3:

56,352,025 ÷ 3 = 18,784,008.3333

If the quotient is a whole number, then 3 and 18,784,008.3333 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 56,352,025
-1 -56,352,025

Let's try dividing by 4:

56,352,025 ÷ 4 = 14,088,006.25

If the quotient is a whole number, then 4 and 14,088,006.25 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 56,352,025
-1 56,352,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15172567853354251,1391,6751,9795,6959,89528,47533,64349,475132,593168,215662,965841,0752,254,0813,314,82511,270,40556,352,025
-1-5-17-25-67-85-335-425-1,139-1,675-1,979-5,695-9,895-28,475-33,643-49,475-132,593-168,215-662,965-841,075-2,254,081-3,314,825-11,270,405-56,352,025

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