Q: What are the factor combinations of the number 117,026,735?

 A:
Positive:   1 x 1170267355 x 234053477 x 1671810535 x 3343621509 x 2299152545 x 459833563 x 328456569 x 17815
Negative: -1 x -117026735-5 x -23405347-7 x -16718105-35 x -3343621-509 x -229915-2545 x -45983-3563 x -32845-6569 x -17815


How do I find the factor combinations of the number 117,026,735?

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 117,026,735, 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.

1 117,026,735
-1 -117,026,735

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 117,026,735.

Example:
1 x 117,026,735 = 117,026,735
and
-1 x -117,026,735 = 117,026,735
Notice both answers equal 117,026,735

With that explanation out of the way, let's continue. Next, we take the number 117,026,735 and divide it by 2:

117,026,735 ÷ 2 = 58,513,367.5

If the quotient is a whole number, then 2 and 58,513,367.5 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:

1 117,026,735
-1 -117,026,735

Now, we try dividing 117,026,735 by 3:

117,026,735 ÷ 3 = 39,008,911.6667

If the quotient is a whole number, then 3 and 39,008,911.6667 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:

1 117,026,735
-1 -117,026,735

Let's try dividing by 4:

117,026,735 ÷ 4 = 29,256,683.75

If the quotient is a whole number, then 4 and 29,256,683.75 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:

1 117,026,735
-1 117,026,735
Keep dividing by the next highest number until you cannot divide anymore.

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

157355092,5453,5636,56917,81532,84545,983229,9153,343,62116,718,10523,405,347117,026,735
-1-5-7-35-509-2,545-3,563-6,569-17,815-32,845-45,983-229,915-3,343,621-16,718,105-23,405,347-117,026,735

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