Q: What are the factor combinations of the number 121,034,765?

 A:
Positive:   1 x 1210347655 x 2420695371 x 1704715355 x 340943367 x 329795929 x 1302851835 x 659594645 x 26057
Negative: -1 x -121034765-5 x -24206953-71 x -1704715-355 x -340943-367 x -329795-929 x -130285-1835 x -65959-4645 x -26057


How do I find the factor combinations of the number 121,034,765?

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 121,034,765, 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.

1 121,034,765
-1 -121,034,765

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 121,034,765.

Example:
1 x 121,034,765 = 121,034,765
and
-1 x -121,034,765 = 121,034,765
Notice both answers equal 121,034,765

With that explanation out of the way, let's continue. Next, we take the number 121,034,765 and divide it by 2:

121,034,765 ÷ 2 = 60,517,382.5

If the quotient is a whole number, then 2 and 60,517,382.5 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:

1 121,034,765
-1 -121,034,765

Now, we try dividing 121,034,765 by 3:

121,034,765 ÷ 3 = 40,344,921.6667

If the quotient is a whole number, then 3 and 40,344,921.6667 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:

1 121,034,765
-1 -121,034,765

Let's try dividing by 4:

121,034,765 ÷ 4 = 30,258,691.25

If the quotient is a whole number, then 4 and 30,258,691.25 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:

1 121,034,765
-1 121,034,765
Keep dividing by the next highest number until you cannot divide anymore.

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

15713553679291,8354,64526,05765,959130,285329,795340,9431,704,71524,206,953121,034,765
-1-5-71-355-367-929-1,835-4,645-26,057-65,959-130,285-329,795-340,943-1,704,715-24,206,953-121,034,765

More Examples

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