Q: What are the factor combinations of the number 843,374,833?

 A:
Positive:   1 x 8433748337 x 12048211923 x 36668471161 x 5238353
Negative: -1 x -843374833-7 x -120482119-23 x -36668471-161 x -5238353


How do I find the factor combinations of the number 843,374,833?

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 843,374,833, 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.

1 843,374,833
-1 -843,374,833

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 843,374,833.

Example:
1 x 843,374,833 = 843,374,833
and
-1 x -843,374,833 = 843,374,833
Notice both answers equal 843,374,833

With that explanation out of the way, let's continue. Next, we take the number 843,374,833 and divide it by 2:

843,374,833 ÷ 2 = 421,687,416.5

If the quotient is a whole number, then 2 and 421,687,416.5 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:

1 843,374,833
-1 -843,374,833

Now, we try dividing 843,374,833 by 3:

843,374,833 ÷ 3 = 281,124,944.3333

If the quotient is a whole number, then 3 and 281,124,944.3333 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:

1 843,374,833
-1 -843,374,833

Let's try dividing by 4:

843,374,833 ÷ 4 = 210,843,708.25

If the quotient is a whole number, then 4 and 210,843,708.25 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:

1 843,374,833
-1 843,374,833
Keep dividing by the next highest number until you cannot divide anymore.

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

17231615,238,35336,668,471120,482,119843,374,833
-1-7-23-161-5,238,353-36,668,471-120,482,119-843,374,833

More Examples

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