Q: What are the factor combinations of the number 801,873,853?

 A:
Positive:   1 x 80187385311 x 7289762319 x 4220388761 x 13145473209 x 3836717671 x 11950431159 x 69186712749 x 62897
Negative: -1 x -801873853-11 x -72897623-19 x -42203887-61 x -13145473-209 x -3836717-671 x -1195043-1159 x -691867-12749 x -62897


How do I find the factor combinations of the number 801,873,853?

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 801,873,853, 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.

1 801,873,853
-1 -801,873,853

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 801,873,853.

Example:
1 x 801,873,853 = 801,873,853
and
-1 x -801,873,853 = 801,873,853
Notice both answers equal 801,873,853

With that explanation out of the way, let's continue. Next, we take the number 801,873,853 and divide it by 2:

801,873,853 ÷ 2 = 400,936,926.5

If the quotient is a whole number, then 2 and 400,936,926.5 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:

1 801,873,853
-1 -801,873,853

Now, we try dividing 801,873,853 by 3:

801,873,853 ÷ 3 = 267,291,284.3333

If the quotient is a whole number, then 3 and 267,291,284.3333 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:

1 801,873,853
-1 -801,873,853

Let's try dividing by 4:

801,873,853 ÷ 4 = 200,468,463.25

If the quotient is a whole number, then 4 and 200,468,463.25 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:

1 801,873,853
-1 801,873,853
Keep dividing by the next highest number until you cannot divide anymore.

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

11119612096711,15912,74962,897691,8671,195,0433,836,71713,145,47342,203,88772,897,623801,873,853
-1-11-19-61-209-671-1,159-12,749-62,897-691,867-1,195,043-3,836,717-13,145,473-42,203,887-72,897,623-801,873,853

More Examples

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