Q: What are the factor combinations of the number 56,564,677?

 A:
Positive:   1 x 5656467713 x 435112931 x 182466797 x 583141403 x 1403591261 x 448571447 x 390913007 x 18811
Negative: -1 x -56564677-13 x -4351129-31 x -1824667-97 x -583141-403 x -140359-1261 x -44857-1447 x -39091-3007 x -18811


How do I find the factor combinations of the number 56,564,677?

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 56,564,677, 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 56,564,677
-1 -56,564,677

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 56,564,677.

Example:
1 x 56,564,677 = 56,564,677
and
-1 x -56,564,677 = 56,564,677
Notice both answers equal 56,564,677

With that explanation out of the way, let's continue. Next, we take the number 56,564,677 and divide it by 2:

56,564,677 ÷ 2 = 28,282,338.5

If the quotient is a whole number, then 2 and 28,282,338.5 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 56,564,677
-1 -56,564,677

Now, we try dividing 56,564,677 by 3:

56,564,677 ÷ 3 = 18,854,892.3333

If the quotient is a whole number, then 3 and 18,854,892.3333 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 56,564,677
-1 -56,564,677

Let's try dividing by 4:

56,564,677 ÷ 4 = 14,141,169.25

If the quotient is a whole number, then 4 and 14,141,169.25 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 56,564,677
-1 56,564,677
Keep dividing by the next highest number until you cannot divide anymore.

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

11331974031,2611,4473,00718,81139,09144,857140,359583,1411,824,6674,351,12956,564,677
-1-13-31-97-403-1,261-1,447-3,007-18,811-39,091-44,857-140,359-583,141-1,824,667-4,351,129-56,564,677

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