Q: What are the factor combinations of the number 56,563?

 A:
Positive:   1 x 5656313 x 435119 x 2977229 x 247
Negative: -1 x -56563-13 x -4351-19 x -2977-229 x -247


How do I find the factor combinations of the number 56,563?

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 56,563, 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 56,563
-1 -56,563

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 56,563.

Example:
1 x 56,563 = 56,563
and
-1 x -56,563 = 56,563
Notice both answers equal 56,563

With that explanation out of the way, let's continue. Next, we take the number 56,563 and divide it by 2:

56,563 ÷ 2 = 28,281.5

If the quotient is a whole number, then 2 and 28,281.5 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 56,563
-1 -56,563

Now, we try dividing 56,563 by 3:

56,563 ÷ 3 = 18,854.3333

If the quotient is a whole number, then 3 and 18,854.3333 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 56,563
-1 -56,563

Let's try dividing by 4:

56,563 ÷ 4 = 14,140.75

If the quotient is a whole number, then 4 and 14,140.75 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 56,563
-1 56,563
Keep dividing by the next highest number until you cannot divide anymore.

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

113192292472,9774,35156,563
-1-13-19-229-247-2,977-4,351-56,563

More Examples

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