Q: What are the factor combinations of the number 117,220,117?

 A:
Positive:   1 x 1172201177 x 1674573117 x 689530129 x 4042073119 x 985043203 x 577439493 x 2377693451 x 33967
Negative: -1 x -117220117-7 x -16745731-17 x -6895301-29 x -4042073-119 x -985043-203 x -577439-493 x -237769-3451 x -33967


How do I find the factor combinations of the number 117,220,117?

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 117,220,117, 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.

1 117,220,117
-1 -117,220,117

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 117,220,117.

Example:
1 x 117,220,117 = 117,220,117
and
-1 x -117,220,117 = 117,220,117
Notice both answers equal 117,220,117

With that explanation out of the way, let's continue. Next, we take the number 117,220,117 and divide it by 2:

117,220,117 ÷ 2 = 58,610,058.5

If the quotient is a whole number, then 2 and 58,610,058.5 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:

1 117,220,117
-1 -117,220,117

Now, we try dividing 117,220,117 by 3:

117,220,117 ÷ 3 = 39,073,372.3333

If the quotient is a whole number, then 3 and 39,073,372.3333 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:

1 117,220,117
-1 -117,220,117

Let's try dividing by 4:

117,220,117 ÷ 4 = 29,305,029.25

If the quotient is a whole number, then 4 and 29,305,029.25 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:

1 117,220,117
-1 117,220,117
Keep dividing by the next highest number until you cannot divide anymore.

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

1717291192034933,45133,967237,769577,439985,0434,042,0736,895,30116,745,731117,220,117
-1-7-17-29-119-203-493-3,451-33,967-237,769-577,439-985,043-4,042,073-6,895,301-16,745,731-117,220,117

More Examples

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