Q: What are the factor combinations of the number 323,575?

 A:
Positive:   1 x 3235755 x 647157 x 4622525 x 1294335 x 924543 x 7525175 x 1849215 x 1505301 x 1075
Negative: -1 x -323575-5 x -64715-7 x -46225-25 x -12943-35 x -9245-43 x -7525-175 x -1849-215 x -1505-301 x -1075


How do I find the factor combinations of the number 323,575?

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 323,575, 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.

1 323,575
-1 -323,575

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 323,575.

Example:
1 x 323,575 = 323,575
and
-1 x -323,575 = 323,575
Notice both answers equal 323,575

With that explanation out of the way, let's continue. Next, we take the number 323,575 and divide it by 2:

323,575 ÷ 2 = 161,787.5

If the quotient is a whole number, then 2 and 161,787.5 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:

1 323,575
-1 -323,575

Now, we try dividing 323,575 by 3:

323,575 ÷ 3 = 107,858.3333

If the quotient is a whole number, then 3 and 107,858.3333 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:

1 323,575
-1 -323,575

Let's try dividing by 4:

323,575 ÷ 4 = 80,893.75

If the quotient is a whole number, then 4 and 80,893.75 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:

1 323,575
-1 323,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535431752153011,0751,5051,8497,5259,24512,94346,22564,715323,575
-1-5-7-25-35-43-175-215-301-1,075-1,505-1,849-7,525-9,245-12,943-46,225-64,715-323,575

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 323,575:


Ask a Question