Q: What are the factor combinations of the number 79,677,899?

 A:
Positive:   1 x 796778997 x 1138255779 x 1008581149 x 534751553 x 144083967 x 823971043 x 763936769 x 11771
Negative: -1 x -79677899-7 x -11382557-79 x -1008581-149 x -534751-553 x -144083-967 x -82397-1043 x -76393-6769 x -11771


How do I find the factor combinations of the number 79,677,899?

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 79,677,899, 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 79,677,899
-1 -79,677,899

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 79,677,899.

Example:
1 x 79,677,899 = 79,677,899
and
-1 x -79,677,899 = 79,677,899
Notice both answers equal 79,677,899

With that explanation out of the way, let's continue. Next, we take the number 79,677,899 and divide it by 2:

79,677,899 ÷ 2 = 39,838,949.5

If the quotient is a whole number, then 2 and 39,838,949.5 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 79,677,899
-1 -79,677,899

Now, we try dividing 79,677,899 by 3:

79,677,899 ÷ 3 = 26,559,299.6667

If the quotient is a whole number, then 3 and 26,559,299.6667 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 79,677,899
-1 -79,677,899

Let's try dividing by 4:

79,677,899 ÷ 4 = 19,919,474.75

If the quotient is a whole number, then 4 and 19,919,474.75 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 79,677,899
-1 79,677,899
Keep dividing by the next highest number until you cannot divide anymore.

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

17791495539671,0436,76911,77176,39382,397144,083534,7511,008,58111,382,55779,677,899
-1-7-79-149-553-967-1,043-6,769-11,771-76,393-82,397-144,083-534,751-1,008,581-11,382,557-79,677,899

More Examples

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