Q: What are the factor combinations of the number 110,735,087?

 A:
Positive:   1 x 11073508723 x 481456973 x 1516919101 x 1096387653 x 1695791679 x 659532323 x 476697373 x 15019
Negative: -1 x -110735087-23 x -4814569-73 x -1516919-101 x -1096387-653 x -169579-1679 x -65953-2323 x -47669-7373 x -15019


How do I find the factor combinations of the number 110,735,087?

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 110,735,087, 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.

1 110,735,087
-1 -110,735,087

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 110,735,087.

Example:
1 x 110,735,087 = 110,735,087
and
-1 x -110,735,087 = 110,735,087
Notice both answers equal 110,735,087

With that explanation out of the way, let's continue. Next, we take the number 110,735,087 and divide it by 2:

110,735,087 ÷ 2 = 55,367,543.5

If the quotient is a whole number, then 2 and 55,367,543.5 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:

1 110,735,087
-1 -110,735,087

Now, we try dividing 110,735,087 by 3:

110,735,087 ÷ 3 = 36,911,695.6667

If the quotient is a whole number, then 3 and 36,911,695.6667 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:

1 110,735,087
-1 -110,735,087

Let's try dividing by 4:

110,735,087 ÷ 4 = 27,683,771.75

If the quotient is a whole number, then 4 and 27,683,771.75 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:

1 110,735,087
-1 110,735,087
Keep dividing by the next highest number until you cannot divide anymore.

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

123731016531,6792,3237,37315,01947,66965,953169,5791,096,3871,516,9194,814,569110,735,087
-1-23-73-101-653-1,679-2,323-7,373-15,019-47,669-65,953-169,579-1,096,387-1,516,919-4,814,569-110,735,087

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