Q: What are the factor combinations of the number 124,215,245?

 A:
Positive:   1 x 1242152455 x 248430497 x 1774503511 x 1129229535 x 354900749 x 253500555 x 225845977 x 1613185245 x 507001385 x 322637539 x 2304552695 x 46091
Negative: -1 x -124215245-5 x -24843049-7 x -17745035-11 x -11292295-35 x -3549007-49 x -2535005-55 x -2258459-77 x -1613185-245 x -507001-385 x -322637-539 x -230455-2695 x -46091


How do I find the factor combinations of the number 124,215,245?

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 124,215,245, 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.

1 124,215,245
-1 -124,215,245

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 124,215,245.

Example:
1 x 124,215,245 = 124,215,245
and
-1 x -124,215,245 = 124,215,245
Notice both answers equal 124,215,245

With that explanation out of the way, let's continue. Next, we take the number 124,215,245 and divide it by 2:

124,215,245 ÷ 2 = 62,107,622.5

If the quotient is a whole number, then 2 and 62,107,622.5 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:

1 124,215,245
-1 -124,215,245

Now, we try dividing 124,215,245 by 3:

124,215,245 ÷ 3 = 41,405,081.6667

If the quotient is a whole number, then 3 and 41,405,081.6667 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:

1 124,215,245
-1 -124,215,245

Let's try dividing by 4:

124,215,245 ÷ 4 = 31,053,811.25

If the quotient is a whole number, then 4 and 31,053,811.25 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:

1 124,215,245
-1 124,215,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855392,69546,091230,455322,637507,0011,613,1852,258,4592,535,0053,549,00711,292,29517,745,03524,843,049124,215,245
-1-5-7-11-35-49-55-77-245-385-539-2,695-46,091-230,455-322,637-507,001-1,613,185-2,258,459-2,535,005-3,549,007-11,292,295-17,745,035-24,843,049-124,215,245

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