Q: What are the factor combinations of the number 112,324,105?

 A:
Positive:   1 x 1123241055 x 2246482119 x 591179529 x 387324595 x 1182359145 x 774649551 x 2038552755 x 40771
Negative: -1 x -112324105-5 x -22464821-19 x -5911795-29 x -3873245-95 x -1182359-145 x -774649-551 x -203855-2755 x -40771


How do I find the factor combinations of the number 112,324,105?

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 112,324,105, 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.

1 112,324,105
-1 -112,324,105

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 112,324,105.

Example:
1 x 112,324,105 = 112,324,105
and
-1 x -112,324,105 = 112,324,105
Notice both answers equal 112,324,105

With that explanation out of the way, let's continue. Next, we take the number 112,324,105 and divide it by 2:

112,324,105 ÷ 2 = 56,162,052.5

If the quotient is a whole number, then 2 and 56,162,052.5 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:

1 112,324,105
-1 -112,324,105

Now, we try dividing 112,324,105 by 3:

112,324,105 ÷ 3 = 37,441,368.3333

If the quotient is a whole number, then 3 and 37,441,368.3333 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:

1 112,324,105
-1 -112,324,105

Let's try dividing by 4:

112,324,105 ÷ 4 = 28,081,026.25

If the quotient is a whole number, then 4 and 28,081,026.25 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:

1 112,324,105
-1 112,324,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455512,75540,771203,855774,6491,182,3593,873,2455,911,79522,464,821112,324,105
-1-5-19-29-95-145-551-2,755-40,771-203,855-774,649-1,182,359-3,873,245-5,911,795-22,464,821-112,324,105

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