Q: What are the factor combinations of the number 117,363,677?

 A:
Positive:   1 x 11736367753 x 221440989 x 1318693139 x 844343179 x 6556634717 x 248817367 x 159319487 x 12371
Negative: -1 x -117363677-53 x -2214409-89 x -1318693-139 x -844343-179 x -655663-4717 x -24881-7367 x -15931-9487 x -12371


How do I find the factor combinations of the number 117,363,677?

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 117,363,677, 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.

1 117,363,677
-1 -117,363,677

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 117,363,677.

Example:
1 x 117,363,677 = 117,363,677
and
-1 x -117,363,677 = 117,363,677
Notice both answers equal 117,363,677

With that explanation out of the way, let's continue. Next, we take the number 117,363,677 and divide it by 2:

117,363,677 ÷ 2 = 58,681,838.5

If the quotient is a whole number, then 2 and 58,681,838.5 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:

1 117,363,677
-1 -117,363,677

Now, we try dividing 117,363,677 by 3:

117,363,677 ÷ 3 = 39,121,225.6667

If the quotient is a whole number, then 3 and 39,121,225.6667 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:

1 117,363,677
-1 -117,363,677

Let's try dividing by 4:

117,363,677 ÷ 4 = 29,340,919.25

If the quotient is a whole number, then 4 and 29,340,919.25 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:

1 117,363,677
-1 117,363,677
Keep dividing by the next highest number until you cannot divide anymore.

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

153891391794,7177,3679,48712,37115,93124,881655,663844,3431,318,6932,214,409117,363,677
-1-53-89-139-179-4,717-7,367-9,487-12,371-15,931-24,881-655,663-844,343-1,318,693-2,214,409-117,363,677

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