Q: What are the factor combinations of the number 637,656,041?

 A:
Positive:   1 x 63765604111 x 5796873171 x 8981071619 x 1030139781 x 8164611319 x 4834396809 x 9364914509 x 43949
Negative: -1 x -637656041-11 x -57968731-71 x -8981071-619 x -1030139-781 x -816461-1319 x -483439-6809 x -93649-14509 x -43949


How do I find the factor combinations of the number 637,656,041?

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 637,656,041, 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.

1 637,656,041
-1 -637,656,041

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 637,656,041.

Example:
1 x 637,656,041 = 637,656,041
and
-1 x -637,656,041 = 637,656,041
Notice both answers equal 637,656,041

With that explanation out of the way, let's continue. Next, we take the number 637,656,041 and divide it by 2:

637,656,041 ÷ 2 = 318,828,020.5

If the quotient is a whole number, then 2 and 318,828,020.5 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:

1 637,656,041
-1 -637,656,041

Now, we try dividing 637,656,041 by 3:

637,656,041 ÷ 3 = 212,552,013.6667

If the quotient is a whole number, then 3 and 212,552,013.6667 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:

1 637,656,041
-1 -637,656,041

Let's try dividing by 4:

637,656,041 ÷ 4 = 159,414,010.25

If the quotient is a whole number, then 4 and 159,414,010.25 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:

1 637,656,041
-1 637,656,041
Keep dividing by the next highest number until you cannot divide anymore.

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

111716197811,3196,80914,50943,94993,649483,439816,4611,030,1398,981,07157,968,731637,656,041
-1-11-71-619-781-1,319-6,809-14,509-43,949-93,649-483,439-816,461-1,030,139-8,981,071-57,968,731-637,656,041

More Examples

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