Q: What are the factor combinations of the number 321,654,061?

 A:
Positive:   1 x 32165406137 x 869335341 x 784522143 x 74803271517 x 2120331591 x 2021711763 x 1824474931 x 65231
Negative: -1 x -321654061-37 x -8693353-41 x -7845221-43 x -7480327-1517 x -212033-1591 x -202171-1763 x -182447-4931 x -65231


How do I find the factor combinations of the number 321,654,061?

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 321,654,061, 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.

1 321,654,061
-1 -321,654,061

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 321,654,061.

Example:
1 x 321,654,061 = 321,654,061
and
-1 x -321,654,061 = 321,654,061
Notice both answers equal 321,654,061

With that explanation out of the way, let's continue. Next, we take the number 321,654,061 and divide it by 2:

321,654,061 ÷ 2 = 160,827,030.5

If the quotient is a whole number, then 2 and 160,827,030.5 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:

1 321,654,061
-1 -321,654,061

Now, we try dividing 321,654,061 by 3:

321,654,061 ÷ 3 = 107,218,020.3333

If the quotient is a whole number, then 3 and 107,218,020.3333 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:

1 321,654,061
-1 -321,654,061

Let's try dividing by 4:

321,654,061 ÷ 4 = 80,413,515.25

If the quotient is a whole number, then 4 and 80,413,515.25 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:

1 321,654,061
-1 321,654,061
Keep dividing by the next highest number until you cannot divide anymore.

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

13741431,5171,5911,7634,93165,231182,447202,171212,0337,480,3277,845,2218,693,353321,654,061
-1-37-41-43-1,517-1,591-1,763-4,931-65,231-182,447-202,171-212,033-7,480,327-7,845,221-8,693,353-321,654,061

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 321,654,061:


Ask a Question