Q: What are the factor combinations of the number 72,810,779?

 A:
Positive:   1 x 7281077917 x 428298759 x 1234081229 x 317951317 x 2296871003 x 725933893 x 187035389 x 13511
Negative: -1 x -72810779-17 x -4282987-59 x -1234081-229 x -317951-317 x -229687-1003 x -72593-3893 x -18703-5389 x -13511


How do I find the factor combinations of the number 72,810,779?

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 72,810,779, 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 72,810,779
-1 -72,810,779

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 72,810,779.

Example:
1 x 72,810,779 = 72,810,779
and
-1 x -72,810,779 = 72,810,779
Notice both answers equal 72,810,779

With that explanation out of the way, let's continue. Next, we take the number 72,810,779 and divide it by 2:

72,810,779 ÷ 2 = 36,405,389.5

If the quotient is a whole number, then 2 and 36,405,389.5 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 72,810,779
-1 -72,810,779

Now, we try dividing 72,810,779 by 3:

72,810,779 ÷ 3 = 24,270,259.6667

If the quotient is a whole number, then 3 and 24,270,259.6667 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 72,810,779
-1 -72,810,779

Let's try dividing by 4:

72,810,779 ÷ 4 = 18,202,694.75

If the quotient is a whole number, then 4 and 18,202,694.75 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 72,810,779
-1 72,810,779
Keep dividing by the next highest number until you cannot divide anymore.

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

117592293171,0033,8935,38913,51118,70372,593229,687317,9511,234,0814,282,98772,810,779
-1-17-59-229-317-1,003-3,893-5,389-13,511-18,703-72,593-229,687-317,951-1,234,081-4,282,987-72,810,779

More Examples

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