Q: What are the factor combinations of the number 322,006,375?

 A:
Positive:   1 x 3220063755 x 6440127525 x 1288025537 x 8702875125 x 2576051185 x 1740575925 x 3481154625 x 69623
Negative: -1 x -322006375-5 x -64401275-25 x -12880255-37 x -8702875-125 x -2576051-185 x -1740575-925 x -348115-4625 x -69623


How do I find the factor combinations of the number 322,006,375?

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 322,006,375, 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.

1 322,006,375
-1 -322,006,375

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 322,006,375.

Example:
1 x 322,006,375 = 322,006,375
and
-1 x -322,006,375 = 322,006,375
Notice both answers equal 322,006,375

With that explanation out of the way, let's continue. Next, we take the number 322,006,375 and divide it by 2:

322,006,375 ÷ 2 = 161,003,187.5

If the quotient is a whole number, then 2 and 161,003,187.5 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:

1 322,006,375
-1 -322,006,375

Now, we try dividing 322,006,375 by 3:

322,006,375 ÷ 3 = 107,335,458.3333

If the quotient is a whole number, then 3 and 107,335,458.3333 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:

1 322,006,375
-1 -322,006,375

Let's try dividing by 4:

322,006,375 ÷ 4 = 80,501,593.75

If the quotient is a whole number, then 4 and 80,501,593.75 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:

1 322,006,375
-1 322,006,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371251859254,62569,623348,1151,740,5752,576,0518,702,87512,880,25564,401,275322,006,375
-1-5-25-37-125-185-925-4,625-69,623-348,115-1,740,575-2,576,051-8,702,875-12,880,255-64,401,275-322,006,375

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 322,006,375:


Ask a Question