Q: What are the factor combinations of the number 120,704,759?

 A:
Positive:   1 x 1207047597 x 1724353723 x 5248033161 x 749719521 x 2316791439 x 838813647 x 3309710073 x 11983
Negative: -1 x -120704759-7 x -17243537-23 x -5248033-161 x -749719-521 x -231679-1439 x -83881-3647 x -33097-10073 x -11983


How do I find the factor combinations of the number 120,704,759?

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 120,704,759, 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.

1 120,704,759
-1 -120,704,759

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 120,704,759.

Example:
1 x 120,704,759 = 120,704,759
and
-1 x -120,704,759 = 120,704,759
Notice both answers equal 120,704,759

With that explanation out of the way, let's continue. Next, we take the number 120,704,759 and divide it by 2:

120,704,759 ÷ 2 = 60,352,379.5

If the quotient is a whole number, then 2 and 60,352,379.5 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:

1 120,704,759
-1 -120,704,759

Now, we try dividing 120,704,759 by 3:

120,704,759 ÷ 3 = 40,234,919.6667

If the quotient is a whole number, then 3 and 40,234,919.6667 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:

1 120,704,759
-1 -120,704,759

Let's try dividing by 4:

120,704,759 ÷ 4 = 30,176,189.75

If the quotient is a whole number, then 4 and 30,176,189.75 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:

1 120,704,759
-1 120,704,759
Keep dividing by the next highest number until you cannot divide anymore.

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

17231615211,4393,64710,07311,98333,09783,881231,679749,7195,248,03317,243,537120,704,759
-1-7-23-161-521-1,439-3,647-10,073-11,983-33,097-83,881-231,679-749,719-5,248,033-17,243,537-120,704,759

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