Q: What are the factor combinations of the number 56,725?

 A:
Positive:   1 x 567255 x 1134525 x 2269
Negative: -1 x -56725-5 x -11345-25 x -2269


How do I find the factor combinations of the number 56,725?

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 56,725, 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 56,725
-1 -56,725

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 56,725.

Example:
1 x 56,725 = 56,725
and
-1 x -56,725 = 56,725
Notice both answers equal 56,725

With that explanation out of the way, let's continue. Next, we take the number 56,725 and divide it by 2:

56,725 ÷ 2 = 28,362.5

If the quotient is a whole number, then 2 and 28,362.5 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 56,725
-1 -56,725

Now, we try dividing 56,725 by 3:

56,725 ÷ 3 = 18,908.3333

If the quotient is a whole number, then 3 and 18,908.3333 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 56,725
-1 -56,725

Let's try dividing by 4:

56,725 ÷ 4 = 14,181.25

If the quotient is a whole number, then 4 and 14,181.25 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 56,725
-1 56,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15252,26911,34556,725
-1-5-25-2,269-11,345-56,725

More Examples

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