Q: What are the factor combinations of the number 80,965,679?

 A:
Positive:   1 x 8096567917 x 4762687227 x 3566773859 x 20981
Negative: -1 x -80965679-17 x -4762687-227 x -356677-3859 x -20981


How do I find the factor combinations of the number 80,965,679?

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 80,965,679, 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 80,965,679
-1 -80,965,679

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 80,965,679.

Example:
1 x 80,965,679 = 80,965,679
and
-1 x -80,965,679 = 80,965,679
Notice both answers equal 80,965,679

With that explanation out of the way, let's continue. Next, we take the number 80,965,679 and divide it by 2:

80,965,679 ÷ 2 = 40,482,839.5

If the quotient is a whole number, then 2 and 40,482,839.5 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 80,965,679
-1 -80,965,679

Now, we try dividing 80,965,679 by 3:

80,965,679 ÷ 3 = 26,988,559.6667

If the quotient is a whole number, then 3 and 26,988,559.6667 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 80,965,679
-1 -80,965,679

Let's try dividing by 4:

80,965,679 ÷ 4 = 20,241,419.75

If the quotient is a whole number, then 4 and 20,241,419.75 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 80,965,679
-1 80,965,679
Keep dividing by the next highest number until you cannot divide anymore.

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

1172273,85920,981356,6774,762,68780,965,679
-1-17-227-3,859-20,981-356,677-4,762,687-80,965,679

More Examples

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