Q: What are the factor combinations of the number 117,670,091?

 A:
Positive:   1 x 1176700917 x 1681001311 x 1069728177 x 1528183181 x 6501111267 x 928731991 x 591018443 x 13937
Negative: -1 x -117670091-7 x -16810013-11 x -10697281-77 x -1528183-181 x -650111-1267 x -92873-1991 x -59101-8443 x -13937


How do I find the factor combinations of the number 117,670,091?

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 117,670,091, 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.

1 117,670,091
-1 -117,670,091

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 117,670,091.

Example:
1 x 117,670,091 = 117,670,091
and
-1 x -117,670,091 = 117,670,091
Notice both answers equal 117,670,091

With that explanation out of the way, let's continue. Next, we take the number 117,670,091 and divide it by 2:

117,670,091 ÷ 2 = 58,835,045.5

If the quotient is a whole number, then 2 and 58,835,045.5 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:

1 117,670,091
-1 -117,670,091

Now, we try dividing 117,670,091 by 3:

117,670,091 ÷ 3 = 39,223,363.6667

If the quotient is a whole number, then 3 and 39,223,363.6667 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:

1 117,670,091
-1 -117,670,091

Let's try dividing by 4:

117,670,091 ÷ 4 = 29,417,522.75

If the quotient is a whole number, then 4 and 29,417,522.75 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:

1 117,670,091
-1 117,670,091
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771811,2671,9918,44313,93759,10192,873650,1111,528,18310,697,28116,810,013117,670,091
-1-7-11-77-181-1,267-1,991-8,443-13,937-59,101-92,873-650,111-1,528,183-10,697,281-16,810,013-117,670,091

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