Q: What are the factor combinations of the number 110,751,767?

 A:
Positive:   1 x 1107517677 x 1582168137 x 2993291259 x 427613283 x 3913491511 x 732971981 x 5590710471 x 10577
Negative: -1 x -110751767-7 x -15821681-37 x -2993291-259 x -427613-283 x -391349-1511 x -73297-1981 x -55907-10471 x -10577


How do I find the factor combinations of the number 110,751,767?

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 110,751,767, 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.

1 110,751,767
-1 -110,751,767

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 110,751,767.

Example:
1 x 110,751,767 = 110,751,767
and
-1 x -110,751,767 = 110,751,767
Notice both answers equal 110,751,767

With that explanation out of the way, let's continue. Next, we take the number 110,751,767 and divide it by 2:

110,751,767 ÷ 2 = 55,375,883.5

If the quotient is a whole number, then 2 and 55,375,883.5 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:

1 110,751,767
-1 -110,751,767

Now, we try dividing 110,751,767 by 3:

110,751,767 ÷ 3 = 36,917,255.6667

If the quotient is a whole number, then 3 and 36,917,255.6667 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:

1 110,751,767
-1 -110,751,767

Let's try dividing by 4:

110,751,767 ÷ 4 = 27,687,941.75

If the quotient is a whole number, then 4 and 27,687,941.75 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:

1 110,751,767
-1 110,751,767
Keep dividing by the next highest number until you cannot divide anymore.

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

17372592831,5111,98110,47110,57755,90773,297391,349427,6132,993,29115,821,681110,751,767
-1-7-37-259-283-1,511-1,981-10,471-10,577-55,907-73,297-391,349-427,613-2,993,291-15,821,681-110,751,767

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