Q: What are the factor combinations of the number 112,136,555?

 A:
Positive:   1 x 1121365555 x 22427311127 x 882965137 x 818515635 x 176593685 x 1637031289 x 869956445 x 17399
Negative: -1 x -112136555-5 x -22427311-127 x -882965-137 x -818515-635 x -176593-685 x -163703-1289 x -86995-6445 x -17399


How do I find the factor combinations of the number 112,136,555?

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 112,136,555, 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.

1 112,136,555
-1 -112,136,555

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 112,136,555.

Example:
1 x 112,136,555 = 112,136,555
and
-1 x -112,136,555 = 112,136,555
Notice both answers equal 112,136,555

With that explanation out of the way, let's continue. Next, we take the number 112,136,555 and divide it by 2:

112,136,555 ÷ 2 = 56,068,277.5

If the quotient is a whole number, then 2 and 56,068,277.5 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:

1 112,136,555
-1 -112,136,555

Now, we try dividing 112,136,555 by 3:

112,136,555 ÷ 3 = 37,378,851.6667

If the quotient is a whole number, then 3 and 37,378,851.6667 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:

1 112,136,555
-1 -112,136,555

Let's try dividing by 4:

112,136,555 ÷ 4 = 28,034,138.75

If the quotient is a whole number, then 4 and 28,034,138.75 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:

1 112,136,555
-1 112,136,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151271376356851,2896,44517,39986,995163,703176,593818,515882,96522,427,311112,136,555
-1-5-127-137-635-685-1,289-6,445-17,399-86,995-163,703-176,593-818,515-882,965-22,427,311-112,136,555

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