Q: What are the factor combinations of the number 117,335,615?

 A:
Positive:   1 x 1173356155 x 2346712317 x 690209585 x 1380419
Negative: -1 x -117335615-5 x -23467123-17 x -6902095-85 x -1380419


How do I find the factor combinations of the number 117,335,615?

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 117,335,615, 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.

1 117,335,615
-1 -117,335,615

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 117,335,615.

Example:
1 x 117,335,615 = 117,335,615
and
-1 x -117,335,615 = 117,335,615
Notice both answers equal 117,335,615

With that explanation out of the way, let's continue. Next, we take the number 117,335,615 and divide it by 2:

117,335,615 ÷ 2 = 58,667,807.5

If the quotient is a whole number, then 2 and 58,667,807.5 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:

1 117,335,615
-1 -117,335,615

Now, we try dividing 117,335,615 by 3:

117,335,615 ÷ 3 = 39,111,871.6667

If the quotient is a whole number, then 3 and 39,111,871.6667 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:

1 117,335,615
-1 -117,335,615

Let's try dividing by 4:

117,335,615 ÷ 4 = 29,333,903.75

If the quotient is a whole number, then 4 and 29,333,903.75 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:

1 117,335,615
-1 117,335,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851,380,4196,902,09523,467,123117,335,615
-1-5-17-85-1,380,419-6,902,095-23,467,123-117,335,615

More Examples

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