Q: What are the factor combinations of the number 56,616,329?

 A:
Positive:   1 x 566163297 x 808804711 x 514693977 x 735277257 x 2202971799 x 314712827 x 200272861 x 19789
Negative: -1 x -56616329-7 x -8088047-11 x -5146939-77 x -735277-257 x -220297-1799 x -31471-2827 x -20027-2861 x -19789


How do I find the factor combinations of the number 56,616,329?

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 56,616,329, 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 56,616,329
-1 -56,616,329

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 56,616,329.

Example:
1 x 56,616,329 = 56,616,329
and
-1 x -56,616,329 = 56,616,329
Notice both answers equal 56,616,329

With that explanation out of the way, let's continue. Next, we take the number 56,616,329 and divide it by 2:

56,616,329 ÷ 2 = 28,308,164.5

If the quotient is a whole number, then 2 and 28,308,164.5 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 56,616,329
-1 -56,616,329

Now, we try dividing 56,616,329 by 3:

56,616,329 ÷ 3 = 18,872,109.6667

If the quotient is a whole number, then 3 and 18,872,109.6667 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 56,616,329
-1 -56,616,329

Let's try dividing by 4:

56,616,329 ÷ 4 = 14,154,082.25

If the quotient is a whole number, then 4 and 14,154,082.25 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 56,616,329
-1 56,616,329
Keep dividing by the next highest number until you cannot divide anymore.

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

1711772571,7992,8272,86119,78920,02731,471220,297735,2775,146,9398,088,04756,616,329
-1-7-11-77-257-1,799-2,827-2,861-19,789-20,027-31,471-220,297-735,277-5,146,939-8,088,047-56,616,329

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