Q: What are the factor combinations of the number 325,202,035?

 A:
Positive:   1 x 3252020355 x 65040407409 x 7951152045 x 159023
Negative: -1 x -325202035-5 x -65040407-409 x -795115-2045 x -159023


How do I find the factor combinations of the number 325,202,035?

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 325,202,035, 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.

1 325,202,035
-1 -325,202,035

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 325,202,035.

Example:
1 x 325,202,035 = 325,202,035
and
-1 x -325,202,035 = 325,202,035
Notice both answers equal 325,202,035

With that explanation out of the way, let's continue. Next, we take the number 325,202,035 and divide it by 2:

325,202,035 ÷ 2 = 162,601,017.5

If the quotient is a whole number, then 2 and 162,601,017.5 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:

1 325,202,035
-1 -325,202,035

Now, we try dividing 325,202,035 by 3:

325,202,035 ÷ 3 = 108,400,678.3333

If the quotient is a whole number, then 3 and 108,400,678.3333 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:

1 325,202,035
-1 -325,202,035

Let's try dividing by 4:

325,202,035 ÷ 4 = 81,300,508.75

If the quotient is a whole number, then 4 and 81,300,508.75 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:

1 325,202,035
-1 325,202,035
Keep dividing by the next highest number until you cannot divide anymore.

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

154092,045159,023795,11565,040,407325,202,035
-1-5-409-2,045-159,023-795,115-65,040,407-325,202,035

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 325,202,035:


Ask a Question