Q: What are the factor combinations of the number 931,705?

 A:
Positive:   1 x 9317055 x 18634131 x 30055155 x 6011
Negative: -1 x -931705-5 x -186341-31 x -30055-155 x -6011


How do I find the factor combinations of the number 931,705?

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 931,705, 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.

1 931,705
-1 -931,705

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 931,705.

Example:
1 x 931,705 = 931,705
and
-1 x -931,705 = 931,705
Notice both answers equal 931,705

With that explanation out of the way, let's continue. Next, we take the number 931,705 and divide it by 2:

931,705 ÷ 2 = 465,852.5

If the quotient is a whole number, then 2 and 465,852.5 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:

1 931,705
-1 -931,705

Now, we try dividing 931,705 by 3:

931,705 ÷ 3 = 310,568.3333

If the quotient is a whole number, then 3 and 310,568.3333 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:

1 931,705
-1 -931,705

Let's try dividing by 4:

931,705 ÷ 4 = 232,926.25

If the quotient is a whole number, then 4 and 232,926.25 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:

1 931,705
-1 931,705
Keep dividing by the next highest number until you cannot divide anymore.

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

15311556,01130,055186,341931,705
-1-5-31-155-6,011-30,055-186,341-931,705

More Examples

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