Q: What are the factor combinations of the number 331,041,221?

 A:
Positive:   1 x 3310412217 x 4729160317 x 19473013119 x 2781859683 x 4846874073 x 812774781 x 6924111611 x 28511
Negative: -1 x -331041221-7 x -47291603-17 x -19473013-119 x -2781859-683 x -484687-4073 x -81277-4781 x -69241-11611 x -28511


How do I find the factor combinations of the number 331,041,221?

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 331,041,221, 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.

1 331,041,221
-1 -331,041,221

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 331,041,221.

Example:
1 x 331,041,221 = 331,041,221
and
-1 x -331,041,221 = 331,041,221
Notice both answers equal 331,041,221

With that explanation out of the way, let's continue. Next, we take the number 331,041,221 and divide it by 2:

331,041,221 ÷ 2 = 165,520,610.5

If the quotient is a whole number, then 2 and 165,520,610.5 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:

1 331,041,221
-1 -331,041,221

Now, we try dividing 331,041,221 by 3:

331,041,221 ÷ 3 = 110,347,073.6667

If the quotient is a whole number, then 3 and 110,347,073.6667 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:

1 331,041,221
-1 -331,041,221

Let's try dividing by 4:

331,041,221 ÷ 4 = 82,760,305.25

If the quotient is a whole number, then 4 and 82,760,305.25 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:

1 331,041,221
-1 331,041,221
Keep dividing by the next highest number until you cannot divide anymore.

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

17171196834,0734,78111,61128,51169,24181,277484,6872,781,85919,473,01347,291,603331,041,221
-1-7-17-119-683-4,073-4,781-11,611-28,511-69,241-81,277-484,687-2,781,859-19,473,013-47,291,603-331,041,221

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,041,221:


Ask a Question