Q: What are the factor combinations of the number 321,152,455?

 A:
Positive:   1 x 3211524555 x 6423049113 x 2470403565 x 4940807103 x 3117985515 x 6235971339 x 2398456695 x 47969
Negative: -1 x -321152455-5 x -64230491-13 x -24704035-65 x -4940807-103 x -3117985-515 x -623597-1339 x -239845-6695 x -47969


How do I find the factor combinations of the number 321,152,455?

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 321,152,455, 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.

1 321,152,455
-1 -321,152,455

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 321,152,455.

Example:
1 x 321,152,455 = 321,152,455
and
-1 x -321,152,455 = 321,152,455
Notice both answers equal 321,152,455

With that explanation out of the way, let's continue. Next, we take the number 321,152,455 and divide it by 2:

321,152,455 ÷ 2 = 160,576,227.5

If the quotient is a whole number, then 2 and 160,576,227.5 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:

1 321,152,455
-1 -321,152,455

Now, we try dividing 321,152,455 by 3:

321,152,455 ÷ 3 = 107,050,818.3333

If the quotient is a whole number, then 3 and 107,050,818.3333 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:

1 321,152,455
-1 -321,152,455

Let's try dividing by 4:

321,152,455 ÷ 4 = 80,288,113.75

If the quotient is a whole number, then 4 and 80,288,113.75 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:

1 321,152,455
-1 321,152,455
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651035151,3396,69547,969239,845623,5973,117,9854,940,80724,704,03564,230,491321,152,455
-1-5-13-65-103-515-1,339-6,695-47,969-239,845-623,597-3,117,985-4,940,807-24,704,035-64,230,491-321,152,455

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 321,152,455:


Ask a Question