Q: What are the factor combinations of the number 124,320,515?

 A:
Positive:   1 x 1243205155 x 2486410311 x 1130186519 x 654318555 x 226037395 x 1308637209 x 5948351045 x 118967
Negative: -1 x -124320515-5 x -24864103-11 x -11301865-19 x -6543185-55 x -2260373-95 x -1308637-209 x -594835-1045 x -118967


How do I find the factor combinations of the number 124,320,515?

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 124,320,515, 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.

1 124,320,515
-1 -124,320,515

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 124,320,515.

Example:
1 x 124,320,515 = 124,320,515
and
-1 x -124,320,515 = 124,320,515
Notice both answers equal 124,320,515

With that explanation out of the way, let's continue. Next, we take the number 124,320,515 and divide it by 2:

124,320,515 ÷ 2 = 62,160,257.5

If the quotient is a whole number, then 2 and 62,160,257.5 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:

1 124,320,515
-1 -124,320,515

Now, we try dividing 124,320,515 by 3:

124,320,515 ÷ 3 = 41,440,171.6667

If the quotient is a whole number, then 3 and 41,440,171.6667 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:

1 124,320,515
-1 -124,320,515

Let's try dividing by 4:

124,320,515 ÷ 4 = 31,080,128.75

If the quotient is a whole number, then 4 and 31,080,128.75 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:

1 124,320,515
-1 124,320,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,045118,967594,8351,308,6372,260,3736,543,18511,301,86524,864,103124,320,515
-1-5-11-19-55-95-209-1,045-118,967-594,835-1,308,637-2,260,373-6,543,185-11,301,865-24,864,103-124,320,515

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