Q: What are the factor combinations of the number 331,585?

 A:
Positive:   1 x 3315855 x 6631717 x 1950547 x 705583 x 399585 x 3901235 x 1411415 x 799
Negative: -1 x -331585-5 x -66317-17 x -19505-47 x -7055-83 x -3995-85 x -3901-235 x -1411-415 x -799


How do I find the factor combinations of the number 331,585?

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 331,585, 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.

1 331,585
-1 -331,585

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 331,585.

Example:
1 x 331,585 = 331,585
and
-1 x -331,585 = 331,585
Notice both answers equal 331,585

With that explanation out of the way, let's continue. Next, we take the number 331,585 and divide it by 2:

331,585 ÷ 2 = 165,792.5

If the quotient is a whole number, then 2 and 165,792.5 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:

1 331,585
-1 -331,585

Now, we try dividing 331,585 by 3:

331,585 ÷ 3 = 110,528.3333

If the quotient is a whole number, then 3 and 110,528.3333 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:

1 331,585
-1 -331,585

Let's try dividing by 4:

331,585 ÷ 4 = 82,896.25

If the quotient is a whole number, then 4 and 82,896.25 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:

1 331,585
-1 331,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15174783852354157991,4113,9013,9957,05519,50566,317331,585
-1-5-17-47-83-85-235-415-799-1,411-3,901-3,995-7,055-19,505-66,317-331,585

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,585:


Ask a Question