Q: What are the factor combinations of the number 120,775,633?

 A:
Positive:   1 x 12077563311 x 1097960317 x 710444929 x 4164677187 x 645859319 x 378607493 x 2449815423 x 22271
Negative: -1 x -120775633-11 x -10979603-17 x -7104449-29 x -4164677-187 x -645859-319 x -378607-493 x -244981-5423 x -22271


How do I find the factor combinations of the number 120,775,633?

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 120,775,633, 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.

1 120,775,633
-1 -120,775,633

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 120,775,633.

Example:
1 x 120,775,633 = 120,775,633
and
-1 x -120,775,633 = 120,775,633
Notice both answers equal 120,775,633

With that explanation out of the way, let's continue. Next, we take the number 120,775,633 and divide it by 2:

120,775,633 ÷ 2 = 60,387,816.5

If the quotient is a whole number, then 2 and 60,387,816.5 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:

1 120,775,633
-1 -120,775,633

Now, we try dividing 120,775,633 by 3:

120,775,633 ÷ 3 = 40,258,544.3333

If the quotient is a whole number, then 3 and 40,258,544.3333 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:

1 120,775,633
-1 -120,775,633

Let's try dividing by 4:

120,775,633 ÷ 4 = 30,193,908.25

If the quotient is a whole number, then 4 and 30,193,908.25 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:

1 120,775,633
-1 120,775,633
Keep dividing by the next highest number until you cannot divide anymore.

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

11117291873194935,42322,271244,981378,607645,8594,164,6777,104,44910,979,603120,775,633
-1-11-17-29-187-319-493-5,423-22,271-244,981-378,607-645,859-4,164,677-7,104,449-10,979,603-120,775,633

More Examples

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