Q: What are the factor combinations of the number 32,108,839?

 A:
Positive:   1 x 321088397 x 458697731 x 103576979 x 406441217 x 147967553 x 580631873 x 171432449 x 13111
Negative: -1 x -32108839-7 x -4586977-31 x -1035769-79 x -406441-217 x -147967-553 x -58063-1873 x -17143-2449 x -13111


How do I find the factor combinations of the number 32,108,839?

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 32,108,839, 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 32,108,839
-1 -32,108,839

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 32,108,839.

Example:
1 x 32,108,839 = 32,108,839
and
-1 x -32,108,839 = 32,108,839
Notice both answers equal 32,108,839

With that explanation out of the way, let's continue. Next, we take the number 32,108,839 and divide it by 2:

32,108,839 ÷ 2 = 16,054,419.5

If the quotient is a whole number, then 2 and 16,054,419.5 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 32,108,839
-1 -32,108,839

Now, we try dividing 32,108,839 by 3:

32,108,839 ÷ 3 = 10,702,946.3333

If the quotient is a whole number, then 3 and 10,702,946.3333 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 32,108,839
-1 -32,108,839

Let's try dividing by 4:

32,108,839 ÷ 4 = 8,027,209.75

If the quotient is a whole number, then 4 and 8,027,209.75 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 32,108,839
-1 32,108,839
Keep dividing by the next highest number until you cannot divide anymore.

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

1731792175531,8732,44913,11117,14358,063147,967406,4411,035,7694,586,97732,108,839
-1-7-31-79-217-553-1,873-2,449-13,111-17,143-58,063-147,967-406,441-1,035,769-4,586,977-32,108,839

More Examples

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