Q: What are the factor combinations of the number 124,215,445?

 A:
Positive:   1 x 1242154455 x 2484308919 x 653765541 x 302964595 x 1307531205 x 605929779 x 1594553895 x 31891
Negative: -1 x -124215445-5 x -24843089-19 x -6537655-41 x -3029645-95 x -1307531-205 x -605929-779 x -159455-3895 x -31891


How do I find the factor combinations of the number 124,215,445?

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 124,215,445, 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.

1 124,215,445
-1 -124,215,445

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 124,215,445.

Example:
1 x 124,215,445 = 124,215,445
and
-1 x -124,215,445 = 124,215,445
Notice both answers equal 124,215,445

With that explanation out of the way, let's continue. Next, we take the number 124,215,445 and divide it by 2:

124,215,445 ÷ 2 = 62,107,722.5

If the quotient is a whole number, then 2 and 62,107,722.5 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:

1 124,215,445
-1 -124,215,445

Now, we try dividing 124,215,445 by 3:

124,215,445 ÷ 3 = 41,405,148.3333

If the quotient is a whole number, then 3 and 41,405,148.3333 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:

1 124,215,445
-1 -124,215,445

Let's try dividing by 4:

124,215,445 ÷ 4 = 31,053,861.25

If the quotient is a whole number, then 4 and 31,053,861.25 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:

1 124,215,445
-1 124,215,445
Keep dividing by the next highest number until you cannot divide anymore.

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

151941952057793,89531,891159,455605,9291,307,5313,029,6456,537,65524,843,089124,215,445
-1-5-19-41-95-205-779-3,895-31,891-159,455-605,929-1,307,531-3,029,645-6,537,655-24,843,089-124,215,445

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