Q: What are the factor combinations of the number 79,837,823?

 A:
Positive:   1 x 7983782313 x 614137137 x 2157779481 x 165983
Negative: -1 x -79837823-13 x -6141371-37 x -2157779-481 x -165983


How do I find the factor combinations of the number 79,837,823?

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 79,837,823, 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 79,837,823
-1 -79,837,823

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 79,837,823.

Example:
1 x 79,837,823 = 79,837,823
and
-1 x -79,837,823 = 79,837,823
Notice both answers equal 79,837,823

With that explanation out of the way, let's continue. Next, we take the number 79,837,823 and divide it by 2:

79,837,823 ÷ 2 = 39,918,911.5

If the quotient is a whole number, then 2 and 39,918,911.5 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 79,837,823
-1 -79,837,823

Now, we try dividing 79,837,823 by 3:

79,837,823 ÷ 3 = 26,612,607.6667

If the quotient is a whole number, then 3 and 26,612,607.6667 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 79,837,823
-1 -79,837,823

Let's try dividing by 4:

79,837,823 ÷ 4 = 19,959,455.75

If the quotient is a whole number, then 4 and 19,959,455.75 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 79,837,823
-1 79,837,823
Keep dividing by the next highest number until you cannot divide anymore.

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

11337481165,9832,157,7796,141,37179,837,823
-1-13-37-481-165,983-2,157,779-6,141,371-79,837,823

More Examples

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