Q: What are the factor combinations of the number 722,155,363?

 A:
Positive:   1 x 72215536319 x 38008177163 x 4430401251 x 2877113929 x 7773473097 x 2331794769 x 15142717651 x 40913
Negative: -1 x -722155363-19 x -38008177-163 x -4430401-251 x -2877113-929 x -777347-3097 x -233179-4769 x -151427-17651 x -40913


How do I find the factor combinations of the number 722,155,363?

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 722,155,363, 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.

1 722,155,363
-1 -722,155,363

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 722,155,363.

Example:
1 x 722,155,363 = 722,155,363
and
-1 x -722,155,363 = 722,155,363
Notice both answers equal 722,155,363

With that explanation out of the way, let's continue. Next, we take the number 722,155,363 and divide it by 2:

722,155,363 ÷ 2 = 361,077,681.5

If the quotient is a whole number, then 2 and 361,077,681.5 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:

1 722,155,363
-1 -722,155,363

Now, we try dividing 722,155,363 by 3:

722,155,363 ÷ 3 = 240,718,454.3333

If the quotient is a whole number, then 3 and 240,718,454.3333 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:

1 722,155,363
-1 -722,155,363

Let's try dividing by 4:

722,155,363 ÷ 4 = 180,538,840.75

If the quotient is a whole number, then 4 and 180,538,840.75 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:

1 722,155,363
-1 722,155,363
Keep dividing by the next highest number until you cannot divide anymore.

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

1191632519293,0974,76917,65140,913151,427233,179777,3472,877,1134,430,40138,008,177722,155,363
-1-19-163-251-929-3,097-4,769-17,651-40,913-151,427-233,179-777,347-2,877,113-4,430,401-38,008,177-722,155,363

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