Q: What are the factor combinations of the number 321,737,059?

 A:
Positive:   1 x 3217370597 x 4596243779 x 4072621151 x 2130709553 x 5818031057 x 3043873853 x 8350311929 x 26971
Negative: -1 x -321737059-7 x -45962437-79 x -4072621-151 x -2130709-553 x -581803-1057 x -304387-3853 x -83503-11929 x -26971


How do I find the factor combinations of the number 321,737,059?

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 321,737,059, 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.

1 321,737,059
-1 -321,737,059

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 321,737,059.

Example:
1 x 321,737,059 = 321,737,059
and
-1 x -321,737,059 = 321,737,059
Notice both answers equal 321,737,059

With that explanation out of the way, let's continue. Next, we take the number 321,737,059 and divide it by 2:

321,737,059 ÷ 2 = 160,868,529.5

If the quotient is a whole number, then 2 and 160,868,529.5 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:

1 321,737,059
-1 -321,737,059

Now, we try dividing 321,737,059 by 3:

321,737,059 ÷ 3 = 107,245,686.3333

If the quotient is a whole number, then 3 and 107,245,686.3333 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:

1 321,737,059
-1 -321,737,059

Let's try dividing by 4:

321,737,059 ÷ 4 = 80,434,264.75

If the quotient is a whole number, then 4 and 80,434,264.75 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:

1 321,737,059
-1 321,737,059
Keep dividing by the next highest number until you cannot divide anymore.

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

17791515531,0573,85311,92926,97183,503304,387581,8032,130,7094,072,62145,962,437321,737,059
-1-7-79-151-553-1,057-3,853-11,929-26,971-83,503-304,387-581,803-2,130,709-4,072,621-45,962,437-321,737,059

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 321,737,059:


Ask a Question