Q: What are the factor combinations of the number 760,663,325?

 A:
Positive:   1 x 7606633255 x 15213266525 x 30426533127 x 5989475635 x 11978953175 x 239579
Negative: -1 x -760663325-5 x -152132665-25 x -30426533-127 x -5989475-635 x -1197895-3175 x -239579


How do I find the factor combinations of the number 760,663,325?

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 760,663,325, 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.

1 760,663,325
-1 -760,663,325

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 760,663,325.

Example:
1 x 760,663,325 = 760,663,325
and
-1 x -760,663,325 = 760,663,325
Notice both answers equal 760,663,325

With that explanation out of the way, let's continue. Next, we take the number 760,663,325 and divide it by 2:

760,663,325 ÷ 2 = 380,331,662.5

If the quotient is a whole number, then 2 and 380,331,662.5 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:

1 760,663,325
-1 -760,663,325

Now, we try dividing 760,663,325 by 3:

760,663,325 ÷ 3 = 253,554,441.6667

If the quotient is a whole number, then 3 and 253,554,441.6667 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:

1 760,663,325
-1 -760,663,325

Let's try dividing by 4:

760,663,325 ÷ 4 = 190,165,831.25

If the quotient is a whole number, then 4 and 190,165,831.25 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:

1 760,663,325
-1 760,663,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15251276353,175239,5791,197,8955,989,47530,426,533152,132,665760,663,325
-1-5-25-127-635-3,175-239,579-1,197,895-5,989,475-30,426,533-152,132,665-760,663,325

More Examples

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