Q: What are the factor combinations of the number 117,001,703?

 A:
Positive:   1 x 1170017037 x 1671452913 x 900013191 x 1285733167 x 7006091169 x 1000872171 x 538937699 x 15197
Negative: -1 x -117001703-7 x -16714529-13 x -9000131-91 x -1285733-167 x -700609-1169 x -100087-2171 x -53893-7699 x -15197


How do I find the factor combinations of the number 117,001,703?

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 117,001,703, 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.

1 117,001,703
-1 -117,001,703

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 117,001,703.

Example:
1 x 117,001,703 = 117,001,703
and
-1 x -117,001,703 = 117,001,703
Notice both answers equal 117,001,703

With that explanation out of the way, let's continue. Next, we take the number 117,001,703 and divide it by 2:

117,001,703 ÷ 2 = 58,500,851.5

If the quotient is a whole number, then 2 and 58,500,851.5 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:

1 117,001,703
-1 -117,001,703

Now, we try dividing 117,001,703 by 3:

117,001,703 ÷ 3 = 39,000,567.6667

If the quotient is a whole number, then 3 and 39,000,567.6667 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:

1 117,001,703
-1 -117,001,703

Let's try dividing by 4:

117,001,703 ÷ 4 = 29,250,425.75

If the quotient is a whole number, then 4 and 29,250,425.75 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:

1 117,001,703
-1 117,001,703
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911671,1692,1717,69915,19753,893100,087700,6091,285,7339,000,13116,714,529117,001,703
-1-7-13-91-167-1,169-2,171-7,699-15,197-53,893-100,087-700,609-1,285,733-9,000,131-16,714,529-117,001,703

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