Q: What are the factor combinations of the number 124,210,331?

 A:
Positive:   1 x 1242103317 x 1774433347 x 2642773223 x 556997329 x 3775391561 x 795711693 x 7336710481 x 11851
Negative: -1 x -124210331-7 x -17744333-47 x -2642773-223 x -556997-329 x -377539-1561 x -79571-1693 x -73367-10481 x -11851


How do I find the factor combinations of the number 124,210,331?

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 124,210,331, 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.

1 124,210,331
-1 -124,210,331

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 124,210,331.

Example:
1 x 124,210,331 = 124,210,331
and
-1 x -124,210,331 = 124,210,331
Notice both answers equal 124,210,331

With that explanation out of the way, let's continue. Next, we take the number 124,210,331 and divide it by 2:

124,210,331 ÷ 2 = 62,105,165.5

If the quotient is a whole number, then 2 and 62,105,165.5 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:

1 124,210,331
-1 -124,210,331

Now, we try dividing 124,210,331 by 3:

124,210,331 ÷ 3 = 41,403,443.6667

If the quotient is a whole number, then 3 and 41,403,443.6667 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:

1 124,210,331
-1 -124,210,331

Let's try dividing by 4:

124,210,331 ÷ 4 = 31,052,582.75

If the quotient is a whole number, then 4 and 31,052,582.75 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:

1 124,210,331
-1 124,210,331
Keep dividing by the next highest number until you cannot divide anymore.

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

17472233291,5611,69310,48111,85173,36779,571377,539556,9972,642,77317,744,333124,210,331
-1-7-47-223-329-1,561-1,693-10,481-11,851-73,367-79,571-377,539-556,997-2,642,773-17,744,333-124,210,331

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