Q: What are the factor combinations of the number 112,103,135?

 A:
Positive:   1 x 1121031355 x 2242062719 x 590016595 x 1180033173 x 647995359 x 312265361 x 310535865 x 1295991795 x 624531805 x 621073287 x 341056821 x 16435
Negative: -1 x -112103135-5 x -22420627-19 x -5900165-95 x -1180033-173 x -647995-359 x -312265-361 x -310535-865 x -129599-1795 x -62453-1805 x -62107-3287 x -34105-6821 x -16435


How do I find the factor combinations of the number 112,103,135?

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 112,103,135, 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.

1 112,103,135
-1 -112,103,135

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 112,103,135.

Example:
1 x 112,103,135 = 112,103,135
and
-1 x -112,103,135 = 112,103,135
Notice both answers equal 112,103,135

With that explanation out of the way, let's continue. Next, we take the number 112,103,135 and divide it by 2:

112,103,135 ÷ 2 = 56,051,567.5

If the quotient is a whole number, then 2 and 56,051,567.5 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:

1 112,103,135
-1 -112,103,135

Now, we try dividing 112,103,135 by 3:

112,103,135 ÷ 3 = 37,367,711.6667

If the quotient is a whole number, then 3 and 37,367,711.6667 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:

1 112,103,135
-1 -112,103,135

Let's try dividing by 4:

112,103,135 ÷ 4 = 28,025,783.75

If the quotient is a whole number, then 4 and 28,025,783.75 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:

1 112,103,135
-1 112,103,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951733593618651,7951,8053,2876,82116,43534,10562,10762,453129,599310,535312,265647,9951,180,0335,900,16522,420,627112,103,135
-1-5-19-95-173-359-361-865-1,795-1,805-3,287-6,821-16,435-34,105-62,107-62,453-129,599-310,535-312,265-647,995-1,180,033-5,900,165-22,420,627-112,103,135

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