Q: What are the factor combinations of the number 113,131,015?

 A:
Positive:   1 x 1131310155 x 2262620337 x 305759589 x 1271135185 x 611519445 x 2542273293 x 343556871 x 16465
Negative: -1 x -113131015-5 x -22626203-37 x -3057595-89 x -1271135-185 x -611519-445 x -254227-3293 x -34355-6871 x -16465


How do I find the factor combinations of the number 113,131,015?

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 113,131,015, 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.

1 113,131,015
-1 -113,131,015

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 113,131,015.

Example:
1 x 113,131,015 = 113,131,015
and
-1 x -113,131,015 = 113,131,015
Notice both answers equal 113,131,015

With that explanation out of the way, let's continue. Next, we take the number 113,131,015 and divide it by 2:

113,131,015 ÷ 2 = 56,565,507.5

If the quotient is a whole number, then 2 and 56,565,507.5 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:

1 113,131,015
-1 -113,131,015

Now, we try dividing 113,131,015 by 3:

113,131,015 ÷ 3 = 37,710,338.3333

If the quotient is a whole number, then 3 and 37,710,338.3333 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:

1 113,131,015
-1 -113,131,015

Let's try dividing by 4:

113,131,015 ÷ 4 = 28,282,753.75

If the quotient is a whole number, then 4 and 28,282,753.75 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:

1 113,131,015
-1 113,131,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1537891854453,2936,87116,46534,355254,227611,5191,271,1353,057,59522,626,203113,131,015
-1-5-37-89-185-445-3,293-6,871-16,465-34,355-254,227-611,519-1,271,135-3,057,595-22,626,203-113,131,015

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