Q: What are the factor combinations of the number 56,207,723?

 A:
Positive:   1 x 5620772311 x 510979313 x 432367147 x 1195909143 x 393061517 x 108719611 x 919936721 x 8363
Negative: -1 x -56207723-11 x -5109793-13 x -4323671-47 x -1195909-143 x -393061-517 x -108719-611 x -91993-6721 x -8363


How do I find the factor combinations of the number 56,207,723?

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 56,207,723, 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 56,207,723
-1 -56,207,723

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 56,207,723.

Example:
1 x 56,207,723 = 56,207,723
and
-1 x -56,207,723 = 56,207,723
Notice both answers equal 56,207,723

With that explanation out of the way, let's continue. Next, we take the number 56,207,723 and divide it by 2:

56,207,723 ÷ 2 = 28,103,861.5

If the quotient is a whole number, then 2 and 28,103,861.5 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 56,207,723
-1 -56,207,723

Now, we try dividing 56,207,723 by 3:

56,207,723 ÷ 3 = 18,735,907.6667

If the quotient is a whole number, then 3 and 18,735,907.6667 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 56,207,723
-1 -56,207,723

Let's try dividing by 4:

56,207,723 ÷ 4 = 14,051,930.75

If the quotient is a whole number, then 4 and 14,051,930.75 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 56,207,723
-1 56,207,723
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471435176116,7218,36391,993108,719393,0611,195,9094,323,6715,109,79356,207,723
-1-11-13-47-143-517-611-6,721-8,363-91,993-108,719-393,061-1,195,909-4,323,671-5,109,793-56,207,723

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