Q: What are the factor combinations of the number 836,675?

 A:
Positive:   1 x 8366755 x 1673357 x 11952525 x 3346735 x 2390549 x 17075175 x 4781245 x 3415683 x 1225
Negative: -1 x -836675-5 x -167335-7 x -119525-25 x -33467-35 x -23905-49 x -17075-175 x -4781-245 x -3415-683 x -1225


How do I find the factor combinations of the number 836,675?

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 836,675, 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.

1 836,675
-1 -836,675

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 836,675.

Example:
1 x 836,675 = 836,675
and
-1 x -836,675 = 836,675
Notice both answers equal 836,675

With that explanation out of the way, let's continue. Next, we take the number 836,675 and divide it by 2:

836,675 ÷ 2 = 418,337.5

If the quotient is a whole number, then 2 and 418,337.5 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:

1 836,675
-1 -836,675

Now, we try dividing 836,675 by 3:

836,675 ÷ 3 = 278,891.6667

If the quotient is a whole number, then 3 and 278,891.6667 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:

1 836,675
-1 -836,675

Let's try dividing by 4:

836,675 ÷ 4 = 209,168.75

If the quotient is a whole number, then 4 and 209,168.75 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:

1 836,675
-1 836,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752456831,2253,4154,78117,07523,90533,467119,525167,335836,675
-1-5-7-25-35-49-175-245-683-1,225-3,415-4,781-17,075-23,905-33,467-119,525-167,335-836,675

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