Q: What are the factor combinations of the number 637,768,555?

 A:
Positive:   1 x 6377685555 x 1275537111747 x 3650658735 x 73013
Negative: -1 x -637768555-5 x -127553711-1747 x -365065-8735 x -73013


How do I find the factor combinations of the number 637,768,555?

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 637,768,555, 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.

1 637,768,555
-1 -637,768,555

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 637,768,555.

Example:
1 x 637,768,555 = 637,768,555
and
-1 x -637,768,555 = 637,768,555
Notice both answers equal 637,768,555

With that explanation out of the way, let's continue. Next, we take the number 637,768,555 and divide it by 2:

637,768,555 ÷ 2 = 318,884,277.5

If the quotient is a whole number, then 2 and 318,884,277.5 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:

1 637,768,555
-1 -637,768,555

Now, we try dividing 637,768,555 by 3:

637,768,555 ÷ 3 = 212,589,518.3333

If the quotient is a whole number, then 3 and 212,589,518.3333 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:

1 637,768,555
-1 -637,768,555

Let's try dividing by 4:

637,768,555 ÷ 4 = 159,442,138.75

If the quotient is a whole number, then 4 and 159,442,138.75 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:

1 637,768,555
-1 637,768,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151,7478,73573,013365,065127,553,711637,768,555
-1-5-1,747-8,735-73,013-365,065-127,553,711-637,768,555

More Examples

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