Q: What are the factor combinations of the number 79,683,709?

 A:
Positive:   1 x 796837097 x 1138338717 x 4687277119 x 669611
Negative: -1 x -79683709-7 x -11383387-17 x -4687277-119 x -669611


How do I find the factor combinations of the number 79,683,709?

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 79,683,709, 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 79,683,709
-1 -79,683,709

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 79,683,709.

Example:
1 x 79,683,709 = 79,683,709
and
-1 x -79,683,709 = 79,683,709
Notice both answers equal 79,683,709

With that explanation out of the way, let's continue. Next, we take the number 79,683,709 and divide it by 2:

79,683,709 ÷ 2 = 39,841,854.5

If the quotient is a whole number, then 2 and 39,841,854.5 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 79,683,709
-1 -79,683,709

Now, we try dividing 79,683,709 by 3:

79,683,709 ÷ 3 = 26,561,236.3333

If the quotient is a whole number, then 3 and 26,561,236.3333 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 79,683,709
-1 -79,683,709

Let's try dividing by 4:

79,683,709 ÷ 4 = 19,920,927.25

If the quotient is a whole number, then 4 and 19,920,927.25 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 79,683,709
-1 79,683,709
Keep dividing by the next highest number until you cannot divide anymore.

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

1717119669,6114,687,27711,383,38779,683,709
-1-7-17-119-669,611-4,687,277-11,383,387-79,683,709

More Examples

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