Q: What are the factor combinations of the number 722,411,845?

 A:
Positive:   1 x 7224118455 x 144482369223 x 3239515277 x 26079851115 x 6479031385 x 5215972339 x 30885511695 x 61771
Negative: -1 x -722411845-5 x -144482369-223 x -3239515-277 x -2607985-1115 x -647903-1385 x -521597-2339 x -308855-11695 x -61771


How do I find the factor combinations of the number 722,411,845?

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 722,411,845, 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.

1 722,411,845
-1 -722,411,845

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 722,411,845.

Example:
1 x 722,411,845 = 722,411,845
and
-1 x -722,411,845 = 722,411,845
Notice both answers equal 722,411,845

With that explanation out of the way, let's continue. Next, we take the number 722,411,845 and divide it by 2:

722,411,845 ÷ 2 = 361,205,922.5

If the quotient is a whole number, then 2 and 361,205,922.5 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:

1 722,411,845
-1 -722,411,845

Now, we try dividing 722,411,845 by 3:

722,411,845 ÷ 3 = 240,803,948.3333

If the quotient is a whole number, then 3 and 240,803,948.3333 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:

1 722,411,845
-1 -722,411,845

Let's try dividing by 4:

722,411,845 ÷ 4 = 180,602,961.25

If the quotient is a whole number, then 4 and 180,602,961.25 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:

1 722,411,845
-1 722,411,845
Keep dividing by the next highest number until you cannot divide anymore.

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

152232771,1151,3852,33911,69561,771308,855521,597647,9032,607,9853,239,515144,482,369722,411,845
-1-5-223-277-1,115-1,385-2,339-11,695-61,771-308,855-521,597-647,903-2,607,985-3,239,515-144,482,369-722,411,845

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