Q: What are the factor combinations of the number 322,310,135?

 A:
Positive:   1 x 3223101355 x 644620277 x 4604430535 x 9208861761 x 4235353805 x 847075327 x 6050512101 x 26635
Negative: -1 x -322310135-5 x -64462027-7 x -46044305-35 x -9208861-761 x -423535-3805 x -84707-5327 x -60505-12101 x -26635


How do I find the factor combinations of the number 322,310,135?

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 322,310,135, 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.

1 322,310,135
-1 -322,310,135

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 322,310,135.

Example:
1 x 322,310,135 = 322,310,135
and
-1 x -322,310,135 = 322,310,135
Notice both answers equal 322,310,135

With that explanation out of the way, let's continue. Next, we take the number 322,310,135 and divide it by 2:

322,310,135 ÷ 2 = 161,155,067.5

If the quotient is a whole number, then 2 and 161,155,067.5 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:

1 322,310,135
-1 -322,310,135

Now, we try dividing 322,310,135 by 3:

322,310,135 ÷ 3 = 107,436,711.6667

If the quotient is a whole number, then 3 and 107,436,711.6667 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:

1 322,310,135
-1 -322,310,135

Let's try dividing by 4:

322,310,135 ÷ 4 = 80,577,533.75

If the quotient is a whole number, then 4 and 80,577,533.75 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:

1 322,310,135
-1 322,310,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157357613,8055,32712,10126,63560,50584,707423,5359,208,86146,044,30564,462,027322,310,135
-1-5-7-35-761-3,805-5,327-12,101-26,635-60,505-84,707-423,535-9,208,861-46,044,305-64,462,027-322,310,135

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 322,310,135:


Ask a Question