Q: What are the factor combinations of the number 56,464,331?

 A:
Positive:   1 x 564643317 x 806633311 x 513312137 x 152606377 x 733303259 x 218009407 x 1387332849 x 19819
Negative: -1 x -56464331-7 x -8066333-11 x -5133121-37 x -1526063-77 x -733303-259 x -218009-407 x -138733-2849 x -19819


How do I find the factor combinations of the number 56,464,331?

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 56,464,331, 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 56,464,331
-1 -56,464,331

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 56,464,331.

Example:
1 x 56,464,331 = 56,464,331
and
-1 x -56,464,331 = 56,464,331
Notice both answers equal 56,464,331

With that explanation out of the way, let's continue. Next, we take the number 56,464,331 and divide it by 2:

56,464,331 ÷ 2 = 28,232,165.5

If the quotient is a whole number, then 2 and 28,232,165.5 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 56,464,331
-1 -56,464,331

Now, we try dividing 56,464,331 by 3:

56,464,331 ÷ 3 = 18,821,443.6667

If the quotient is a whole number, then 3 and 18,821,443.6667 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 56,464,331
-1 -56,464,331

Let's try dividing by 4:

56,464,331 ÷ 4 = 14,116,082.75

If the quotient is a whole number, then 4 and 14,116,082.75 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 56,464,331
-1 56,464,331
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,84919,819138,733218,009733,3031,526,0635,133,1218,066,33356,464,331
-1-7-11-37-77-259-407-2,849-19,819-138,733-218,009-733,303-1,526,063-5,133,121-8,066,333-56,464,331

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