Q: What are the factor combinations of the number 323,003,425?

 A:
Positive:   1 x 3230034255 x 6460068525 x 12920137131 x 2465675655 x 4931353275 x 98627
Negative: -1 x -323003425-5 x -64600685-25 x -12920137-131 x -2465675-655 x -493135-3275 x -98627


How do I find the factor combinations of the number 323,003,425?

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 323,003,425, 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.

1 323,003,425
-1 -323,003,425

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 323,003,425.

Example:
1 x 323,003,425 = 323,003,425
and
-1 x -323,003,425 = 323,003,425
Notice both answers equal 323,003,425

With that explanation out of the way, let's continue. Next, we take the number 323,003,425 and divide it by 2:

323,003,425 ÷ 2 = 161,501,712.5

If the quotient is a whole number, then 2 and 161,501,712.5 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:

1 323,003,425
-1 -323,003,425

Now, we try dividing 323,003,425 by 3:

323,003,425 ÷ 3 = 107,667,808.3333

If the quotient is a whole number, then 3 and 107,667,808.3333 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:

1 323,003,425
-1 -323,003,425

Let's try dividing by 4:

323,003,425 ÷ 4 = 80,750,856.25

If the quotient is a whole number, then 4 and 80,750,856.25 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:

1 323,003,425
-1 323,003,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251316553,27598,627493,1352,465,67512,920,13764,600,685323,003,425
-1-5-25-131-655-3,275-98,627-493,135-2,465,675-12,920,137-64,600,685-323,003,425

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 323,003,425:


Ask a Question