Q: What are the factor combinations of the number 110,708,225?

 A:
Positive:   1 x 1107082255 x 2214164525 x 442832929 x 3817525145 x 763505311 x 355975491 x 225475725 x 1527011555 x 711952455 x 450957775 x 142399019 x 12275
Negative: -1 x -110708225-5 x -22141645-25 x -4428329-29 x -3817525-145 x -763505-311 x -355975-491 x -225475-725 x -152701-1555 x -71195-2455 x -45095-7775 x -14239-9019 x -12275


How do I find the factor combinations of the number 110,708,225?

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 110,708,225, 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.

1 110,708,225
-1 -110,708,225

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 110,708,225.

Example:
1 x 110,708,225 = 110,708,225
and
-1 x -110,708,225 = 110,708,225
Notice both answers equal 110,708,225

With that explanation out of the way, let's continue. Next, we take the number 110,708,225 and divide it by 2:

110,708,225 ÷ 2 = 55,354,112.5

If the quotient is a whole number, then 2 and 55,354,112.5 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:

1 110,708,225
-1 -110,708,225

Now, we try dividing 110,708,225 by 3:

110,708,225 ÷ 3 = 36,902,741.6667

If the quotient is a whole number, then 3 and 36,902,741.6667 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:

1 110,708,225
-1 -110,708,225

Let's try dividing by 4:

110,708,225 ÷ 4 = 27,677,056.25

If the quotient is a whole number, then 4 and 27,677,056.25 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:

1 110,708,225
-1 110,708,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291453114917251,5552,4557,7759,01912,27514,23945,09571,195152,701225,475355,975763,5053,817,5254,428,32922,141,645110,708,225
-1-5-25-29-145-311-491-725-1,555-2,455-7,775-9,019-12,275-14,239-45,095-71,195-152,701-225,475-355,975-763,505-3,817,525-4,428,329-22,141,645-110,708,225

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