Q: What are the factor combinations of the number 121,502,645?

 A:
Positive:   1 x 1215026455 x 2430052911 x 1104569555 x 2209139163 x 745415815 x 1490831793 x 677658965 x 13553
Negative: -1 x -121502645-5 x -24300529-11 x -11045695-55 x -2209139-163 x -745415-815 x -149083-1793 x -67765-8965 x -13553


How do I find the factor combinations of the number 121,502,645?

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 121,502,645, 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.

1 121,502,645
-1 -121,502,645

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 121,502,645.

Example:
1 x 121,502,645 = 121,502,645
and
-1 x -121,502,645 = 121,502,645
Notice both answers equal 121,502,645

With that explanation out of the way, let's continue. Next, we take the number 121,502,645 and divide it by 2:

121,502,645 ÷ 2 = 60,751,322.5

If the quotient is a whole number, then 2 and 60,751,322.5 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:

1 121,502,645
-1 -121,502,645

Now, we try dividing 121,502,645 by 3:

121,502,645 ÷ 3 = 40,500,881.6667

If the quotient is a whole number, then 3 and 40,500,881.6667 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:

1 121,502,645
-1 -121,502,645

Let's try dividing by 4:

121,502,645 ÷ 4 = 30,375,661.25

If the quotient is a whole number, then 4 and 30,375,661.25 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:

1 121,502,645
-1 121,502,645
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551638151,7938,96513,55367,765149,083745,4152,209,13911,045,69524,300,529121,502,645
-1-5-11-55-163-815-1,793-8,965-13,553-67,765-149,083-745,415-2,209,139-11,045,695-24,300,529-121,502,645

More Examples

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