Q: What are the factor combinations of the number 722,301,612?

 A:
Positive:   1 x 7223016122 x 3611508063 x 2407672044 x 1805754036 x 12038360212 x 6019180131 x 2330005262 x 1165002693 x 7766684124 x 5825013186 x 3883342372 x 1941671
Negative: -1 x -722301612-2 x -361150806-3 x -240767204-4 x -180575403-6 x -120383602-12 x -60191801-31 x -23300052-62 x -11650026-93 x -7766684-124 x -5825013-186 x -3883342-372 x -1941671


How do I find the factor combinations of the number 722,301,612?

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 722,301,612, 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.

1 722,301,612
-1 -722,301,612

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 722,301,612.

Example:
1 x 722,301,612 = 722,301,612
and
-1 x -722,301,612 = 722,301,612
Notice both answers equal 722,301,612

With that explanation out of the way, let's continue. Next, we take the number 722,301,612 and divide it by 2:

722,301,612 ÷ 2 = 361,150,806

If the quotient is a whole number, then 2 and 361,150,806 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 361,150,806 722,301,612
-1 -2 -361,150,806 -722,301,612

Now, we try dividing 722,301,612 by 3:

722,301,612 ÷ 3 = 240,767,204

If the quotient is a whole number, then 3 and 240,767,204 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 240,767,204 361,150,806 722,301,612
-1 -2 -3 -240,767,204 -361,150,806 -722,301,612

Let's try dividing by 4:

722,301,612 ÷ 4 = 180,575,403

If the quotient is a whole number, then 4 and 180,575,403 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 180,575,403 240,767,204 361,150,806 722,301,612
-1 -2 -3 -4 -180,575,403 -240,767,204 -361,150,806 722,301,612
Keep dividing by the next highest number until you cannot divide anymore.

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

12346123162931241863721,941,6713,883,3425,825,0137,766,68411,650,02623,300,05260,191,801120,383,602180,575,403240,767,204361,150,806722,301,612
-1-2-3-4-6-12-31-62-93-124-186-372-1,941,671-3,883,342-5,825,013-7,766,684-11,650,026-23,300,052-60,191,801-120,383,602-180,575,403-240,767,204-361,150,806-722,301,612

More Examples

Here are some more numbers to try:

722,301,610722,301,611722,301,613722,301,614
Try the factor calculator

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