Q: What are the factor combinations of the number 834,396?

 A:
Positive:   1 x 8343962 x 4171983 x 2781324 x 2085996 x 13906612 x 6953331 x 2691662 x 1345893 x 8972124 x 6729186 x 4486372 x 2243
Negative: -1 x -834396-2 x -417198-3 x -278132-4 x -208599-6 x -139066-12 x -69533-31 x -26916-62 x -13458-93 x -8972-124 x -6729-186 x -4486-372 x -2243


How do I find the factor combinations of the number 834,396?

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 834,396, 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.

1 834,396
-1 -834,396

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 834,396.

Example:
1 x 834,396 = 834,396
and
-1 x -834,396 = 834,396
Notice both answers equal 834,396

With that explanation out of the way, let's continue. Next, we take the number 834,396 and divide it by 2:

834,396 ÷ 2 = 417,198

If the quotient is a whole number, then 2 and 417,198 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 417,198 834,396
-1 -2 -417,198 -834,396

Now, we try dividing 834,396 by 3:

834,396 ÷ 3 = 278,132

If the quotient is a whole number, then 3 and 278,132 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 278,132 417,198 834,396
-1 -2 -3 -278,132 -417,198 -834,396

Let's try dividing by 4:

834,396 ÷ 4 = 208,599

If the quotient is a whole number, then 4 and 208,599 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 208,599 278,132 417,198 834,396
-1 -2 -3 -4 -208,599 -278,132 -417,198 834,396
Keep dividing by the next highest number until you cannot divide anymore.

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

12346123162931241863722,2434,4866,7298,97213,45826,91669,533139,066208,599278,132417,198834,396
-1-2-3-4-6-12-31-62-93-124-186-372-2,243-4,486-6,729-8,972-13,458-26,916-69,533-139,066-208,599-278,132-417,198-834,396

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