Q: What are the factor combinations of the number 120,524,315?

 A:
Positive:   1 x 1205243155 x 2410486319 x 634338559 x 204278595 x 1268677295 x 4085571121 x 1075155605 x 21503
Negative: -1 x -120524315-5 x -24104863-19 x -6343385-59 x -2042785-95 x -1268677-295 x -408557-1121 x -107515-5605 x -21503


How do I find the factor combinations of the number 120,524,315?

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 120,524,315, 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.

1 120,524,315
-1 -120,524,315

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 120,524,315.

Example:
1 x 120,524,315 = 120,524,315
and
-1 x -120,524,315 = 120,524,315
Notice both answers equal 120,524,315

With that explanation out of the way, let's continue. Next, we take the number 120,524,315 and divide it by 2:

120,524,315 ÷ 2 = 60,262,157.5

If the quotient is a whole number, then 2 and 60,262,157.5 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:

1 120,524,315
-1 -120,524,315

Now, we try dividing 120,524,315 by 3:

120,524,315 ÷ 3 = 40,174,771.6667

If the quotient is a whole number, then 3 and 40,174,771.6667 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:

1 120,524,315
-1 -120,524,315

Let's try dividing by 4:

120,524,315 ÷ 4 = 30,131,078.75

If the quotient is a whole number, then 4 and 30,131,078.75 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:

1 120,524,315
-1 120,524,315
Keep dividing by the next highest number until you cannot divide anymore.

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

151959952951,1215,60521,503107,515408,5571,268,6772,042,7856,343,38524,104,863120,524,315
-1-5-19-59-95-295-1,121-5,605-21,503-107,515-408,557-1,268,677-2,042,785-6,343,385-24,104,863-120,524,315

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