Q: What are the factor combinations of the number 644,375,015?

 A:
Positive:   1 x 6443750155 x 12887500323 x 2801630573 x 8827055115 x 5603261365 x 17654111679 x 3837858395 x 76757
Negative: -1 x -644375015-5 x -128875003-23 x -28016305-73 x -8827055-115 x -5603261-365 x -1765411-1679 x -383785-8395 x -76757


How do I find the factor combinations of the number 644,375,015?

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 644,375,015, 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.

1 644,375,015
-1 -644,375,015

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 644,375,015.

Example:
1 x 644,375,015 = 644,375,015
and
-1 x -644,375,015 = 644,375,015
Notice both answers equal 644,375,015

With that explanation out of the way, let's continue. Next, we take the number 644,375,015 and divide it by 2:

644,375,015 ÷ 2 = 322,187,507.5

If the quotient is a whole number, then 2 and 322,187,507.5 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:

1 644,375,015
-1 -644,375,015

Now, we try dividing 644,375,015 by 3:

644,375,015 ÷ 3 = 214,791,671.6667

If the quotient is a whole number, then 3 and 214,791,671.6667 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:

1 644,375,015
-1 -644,375,015

Let's try dividing by 4:

644,375,015 ÷ 4 = 161,093,753.75

If the quotient is a whole number, then 4 and 161,093,753.75 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:

1 644,375,015
-1 644,375,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1523731153651,6798,39576,757383,7851,765,4115,603,2618,827,05528,016,305128,875,003644,375,015
-1-5-23-73-115-365-1,679-8,395-76,757-383,785-1,765,411-5,603,261-8,827,055-28,016,305-128,875,003-644,375,015

More Examples

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