Q: What are the factor combinations of the number 720,682,115?

 A:
Positive:   1 x 7206821155 x 14413642323 x 3133400537 x 19477895115 x 6266801185 x 3895579851 x 8468654255 x 169373
Negative: -1 x -720682115-5 x -144136423-23 x -31334005-37 x -19477895-115 x -6266801-185 x -3895579-851 x -846865-4255 x -169373


How do I find the factor combinations of the number 720,682,115?

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 720,682,115, 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.

1 720,682,115
-1 -720,682,115

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 720,682,115.

Example:
1 x 720,682,115 = 720,682,115
and
-1 x -720,682,115 = 720,682,115
Notice both answers equal 720,682,115

With that explanation out of the way, let's continue. Next, we take the number 720,682,115 and divide it by 2:

720,682,115 ÷ 2 = 360,341,057.5

If the quotient is a whole number, then 2 and 360,341,057.5 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:

1 720,682,115
-1 -720,682,115

Now, we try dividing 720,682,115 by 3:

720,682,115 ÷ 3 = 240,227,371.6667

If the quotient is a whole number, then 3 and 240,227,371.6667 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:

1 720,682,115
-1 -720,682,115

Let's try dividing by 4:

720,682,115 ÷ 4 = 180,170,528.75

If the quotient is a whole number, then 4 and 180,170,528.75 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:

1 720,682,115
-1 720,682,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,255169,373846,8653,895,5796,266,80119,477,89531,334,005144,136,423720,682,115
-1-5-23-37-115-185-851-4,255-169,373-846,865-3,895,579-6,266,801-19,477,895-31,334,005-144,136,423-720,682,115

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 720,682,115:


Ask a Question