Q: What are the factor combinations of the number 720,725,135?

 A:
Positive:   1 x 7207251355 x 14414502713 x 5544039565 x 11088079349 x 20651151745 x 4130234537 x 15885522685 x 31771
Negative: -1 x -720725135-5 x -144145027-13 x -55440395-65 x -11088079-349 x -2065115-1745 x -413023-4537 x -158855-22685 x -31771


How do I find the factor combinations of the number 720,725,135?

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 720,725,135, 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.

1 720,725,135
-1 -720,725,135

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 720,725,135.

Example:
1 x 720,725,135 = 720,725,135
and
-1 x -720,725,135 = 720,725,135
Notice both answers equal 720,725,135

With that explanation out of the way, let's continue. Next, we take the number 720,725,135 and divide it by 2:

720,725,135 ÷ 2 = 360,362,567.5

If the quotient is a whole number, then 2 and 360,362,567.5 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:

1 720,725,135
-1 -720,725,135

Now, we try dividing 720,725,135 by 3:

720,725,135 ÷ 3 = 240,241,711.6667

If the quotient is a whole number, then 3 and 240,241,711.6667 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:

1 720,725,135
-1 -720,725,135

Let's try dividing by 4:

720,725,135 ÷ 4 = 180,181,283.75

If the quotient is a whole number, then 4 and 180,181,283.75 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:

1 720,725,135
-1 720,725,135
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653491,7454,53722,68531,771158,855413,0232,065,11511,088,07955,440,395144,145,027720,725,135
-1-5-13-65-349-1,745-4,537-22,685-31,771-158,855-413,023-2,065,115-11,088,079-55,440,395-144,145,027-720,725,135

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