Q: What are the factor combinations of the number 518,122,759?

 A:
Positive:   1 x 5181227597 x 7401753711 x 4710206977 x 6728867811 x 6388695677 x 912678297 x 624478921 x 58079
Negative: -1 x -518122759-7 x -74017537-11 x -47102069-77 x -6728867-811 x -638869-5677 x -91267-8297 x -62447-8921 x -58079


How do I find the factor combinations of the number 518,122,759?

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 518,122,759, 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.

1 518,122,759
-1 -518,122,759

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 518,122,759.

Example:
1 x 518,122,759 = 518,122,759
and
-1 x -518,122,759 = 518,122,759
Notice both answers equal 518,122,759

With that explanation out of the way, let's continue. Next, we take the number 518,122,759 and divide it by 2:

518,122,759 ÷ 2 = 259,061,379.5

If the quotient is a whole number, then 2 and 259,061,379.5 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:

1 518,122,759
-1 -518,122,759

Now, we try dividing 518,122,759 by 3:

518,122,759 ÷ 3 = 172,707,586.3333

If the quotient is a whole number, then 3 and 172,707,586.3333 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:

1 518,122,759
-1 -518,122,759

Let's try dividing by 4:

518,122,759 ÷ 4 = 129,530,689.75

If the quotient is a whole number, then 4 and 129,530,689.75 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:

1 518,122,759
-1 518,122,759
Keep dividing by the next highest number until you cannot divide anymore.

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

1711778115,6778,2978,92158,07962,44791,267638,8696,728,86747,102,06974,017,537518,122,759
-1-7-11-77-811-5,677-8,297-8,921-58,079-62,447-91,267-638,869-6,728,867-47,102,069-74,017,537-518,122,759

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