Q: What are the factor combinations of the number 321,411,299?

 A:
Positive:   1 x 32141129911 x 2921920917 x 18906547187 x 1718777457 x 7033073761 x 854595027 x 639377769 x 41371
Negative: -1 x -321411299-11 x -29219209-17 x -18906547-187 x -1718777-457 x -703307-3761 x -85459-5027 x -63937-7769 x -41371


How do I find the factor combinations of the number 321,411,299?

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 321,411,299, 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.

1 321,411,299
-1 -321,411,299

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 321,411,299.

Example:
1 x 321,411,299 = 321,411,299
and
-1 x -321,411,299 = 321,411,299
Notice both answers equal 321,411,299

With that explanation out of the way, let's continue. Next, we take the number 321,411,299 and divide it by 2:

321,411,299 ÷ 2 = 160,705,649.5

If the quotient is a whole number, then 2 and 160,705,649.5 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:

1 321,411,299
-1 -321,411,299

Now, we try dividing 321,411,299 by 3:

321,411,299 ÷ 3 = 107,137,099.6667

If the quotient is a whole number, then 3 and 107,137,099.6667 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:

1 321,411,299
-1 -321,411,299

Let's try dividing by 4:

321,411,299 ÷ 4 = 80,352,824.75

If the quotient is a whole number, then 4 and 80,352,824.75 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:

1 321,411,299
-1 321,411,299
Keep dividing by the next highest number until you cannot divide anymore.

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

111171874573,7615,0277,76941,37163,93785,459703,3071,718,77718,906,54729,219,209321,411,299
-1-11-17-187-457-3,761-5,027-7,769-41,371-63,937-85,459-703,307-1,718,777-18,906,547-29,219,209-321,411,299

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 321,411,299:


Ask a Question