Q: What are the factor combinations of the number 112,555,513?

 A:
Positive:   1 x 1125555137 x 1607935931 x 3630823217 x 518689
Negative: -1 x -112555513-7 x -16079359-31 x -3630823-217 x -518689


How do I find the factor combinations of the number 112,555,513?

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 112,555,513, 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.

1 112,555,513
-1 -112,555,513

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 112,555,513.

Example:
1 x 112,555,513 = 112,555,513
and
-1 x -112,555,513 = 112,555,513
Notice both answers equal 112,555,513

With that explanation out of the way, let's continue. Next, we take the number 112,555,513 and divide it by 2:

112,555,513 ÷ 2 = 56,277,756.5

If the quotient is a whole number, then 2 and 56,277,756.5 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:

1 112,555,513
-1 -112,555,513

Now, we try dividing 112,555,513 by 3:

112,555,513 ÷ 3 = 37,518,504.3333

If the quotient is a whole number, then 3 and 37,518,504.3333 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:

1 112,555,513
-1 -112,555,513

Let's try dividing by 4:

112,555,513 ÷ 4 = 28,138,878.25

If the quotient is a whole number, then 4 and 28,138,878.25 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:

1 112,555,513
-1 112,555,513
Keep dividing by the next highest number until you cannot divide anymore.

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

1731217518,6893,630,82316,079,359112,555,513
-1-7-31-217-518,689-3,630,823-16,079,359-112,555,513

More Examples

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