Q: What are the factor combinations of the number 112,004,135?

 A:
Positive:   1 x 1120041355 x 2240082723 x 4869745115 x 973949883 x 1268451103 x 1015454415 x 253695515 x 20309
Negative: -1 x -112004135-5 x -22400827-23 x -4869745-115 x -973949-883 x -126845-1103 x -101545-4415 x -25369-5515 x -20309


How do I find the factor combinations of the number 112,004,135?

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 112,004,135, 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.

1 112,004,135
-1 -112,004,135

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 112,004,135.

Example:
1 x 112,004,135 = 112,004,135
and
-1 x -112,004,135 = 112,004,135
Notice both answers equal 112,004,135

With that explanation out of the way, let's continue. Next, we take the number 112,004,135 and divide it by 2:

112,004,135 ÷ 2 = 56,002,067.5

If the quotient is a whole number, then 2 and 56,002,067.5 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:

1 112,004,135
-1 -112,004,135

Now, we try dividing 112,004,135 by 3:

112,004,135 ÷ 3 = 37,334,711.6667

If the quotient is a whole number, then 3 and 37,334,711.6667 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:

1 112,004,135
-1 -112,004,135

Let's try dividing by 4:

112,004,135 ÷ 4 = 28,001,033.75

If the quotient is a whole number, then 4 and 28,001,033.75 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:

1 112,004,135
-1 112,004,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15231158831,1034,4155,51520,30925,369101,545126,845973,9494,869,74522,400,827112,004,135
-1-5-23-115-883-1,103-4,415-5,515-20,309-25,369-101,545-126,845-973,949-4,869,745-22,400,827-112,004,135

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