Q: What are the factor combinations of the number 79,039,807?

 A:
Positive:   1 x 790398077 x 1129140111 x 718543737 x 213621177 x 1026491259 x 305173407 x 1942012849 x 27743
Negative: -1 x -79039807-7 x -11291401-11 x -7185437-37 x -2136211-77 x -1026491-259 x -305173-407 x -194201-2849 x -27743


How do I find the factor combinations of the number 79,039,807?

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 79,039,807, 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 79,039,807
-1 -79,039,807

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 79,039,807.

Example:
1 x 79,039,807 = 79,039,807
and
-1 x -79,039,807 = 79,039,807
Notice both answers equal 79,039,807

With that explanation out of the way, let's continue. Next, we take the number 79,039,807 and divide it by 2:

79,039,807 ÷ 2 = 39,519,903.5

If the quotient is a whole number, then 2 and 39,519,903.5 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 79,039,807
-1 -79,039,807

Now, we try dividing 79,039,807 by 3:

79,039,807 ÷ 3 = 26,346,602.3333

If the quotient is a whole number, then 3 and 26,346,602.3333 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 79,039,807
-1 -79,039,807

Let's try dividing by 4:

79,039,807 ÷ 4 = 19,759,951.75

If the quotient is a whole number, then 4 and 19,759,951.75 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 79,039,807
-1 79,039,807
Keep dividing by the next highest number until you cannot divide anymore.

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

171137772594072,84927,743194,201305,1731,026,4912,136,2117,185,43711,291,40179,039,807
-1-7-11-37-77-259-407-2,849-27,743-194,201-305,173-1,026,491-2,136,211-7,185,437-11,291,401-79,039,807

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