Q: What are the factor combinations of the number 808,377,421?

 A:
Positive:   1 x 80837742117 x 4755161331 x 2607669183 x 9739487527 x 15339231411 x 5729112573 x 31417718481 x 43741
Negative: -1 x -808377421-17 x -47551613-31 x -26076691-83 x -9739487-527 x -1533923-1411 x -572911-2573 x -314177-18481 x -43741


How do I find the factor combinations of the number 808,377,421?

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 808,377,421, 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.

1 808,377,421
-1 -808,377,421

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 808,377,421.

Example:
1 x 808,377,421 = 808,377,421
and
-1 x -808,377,421 = 808,377,421
Notice both answers equal 808,377,421

With that explanation out of the way, let's continue. Next, we take the number 808,377,421 and divide it by 2:

808,377,421 ÷ 2 = 404,188,710.5

If the quotient is a whole number, then 2 and 404,188,710.5 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:

1 808,377,421
-1 -808,377,421

Now, we try dividing 808,377,421 by 3:

808,377,421 ÷ 3 = 269,459,140.3333

If the quotient is a whole number, then 3 and 269,459,140.3333 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:

1 808,377,421
-1 -808,377,421

Let's try dividing by 4:

808,377,421 ÷ 4 = 202,094,355.25

If the quotient is a whole number, then 4 and 202,094,355.25 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:

1 808,377,421
-1 808,377,421
Keep dividing by the next highest number until you cannot divide anymore.

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

11731835271,4112,57318,48143,741314,177572,9111,533,9239,739,48726,076,69147,551,613808,377,421
-1-17-31-83-527-1,411-2,573-18,481-43,741-314,177-572,911-1,533,923-9,739,487-26,076,691-47,551,613-808,377,421

More Examples

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