Q: What are the factor combinations of the number 332,120,551?

 A:
Positive:   1 x 3321205517 x 4744579317 x 1953650319 x 17480029119 x 2790929133 x 2497147323 x 10282372261 x 146891
Negative: -1 x -332120551-7 x -47445793-17 x -19536503-19 x -17480029-119 x -2790929-133 x -2497147-323 x -1028237-2261 x -146891


How do I find the factor combinations of the number 332,120,551?

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 332,120,551, 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.

1 332,120,551
-1 -332,120,551

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 332,120,551.

Example:
1 x 332,120,551 = 332,120,551
and
-1 x -332,120,551 = 332,120,551
Notice both answers equal 332,120,551

With that explanation out of the way, let's continue. Next, we take the number 332,120,551 and divide it by 2:

332,120,551 ÷ 2 = 166,060,275.5

If the quotient is a whole number, then 2 and 166,060,275.5 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:

1 332,120,551
-1 -332,120,551

Now, we try dividing 332,120,551 by 3:

332,120,551 ÷ 3 = 110,706,850.3333

If the quotient is a whole number, then 3 and 110,706,850.3333 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:

1 332,120,551
-1 -332,120,551

Let's try dividing by 4:

332,120,551 ÷ 4 = 83,030,137.75

If the quotient is a whole number, then 4 and 83,030,137.75 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:

1 332,120,551
-1 332,120,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1717191191333232,261146,8911,028,2372,497,1472,790,92917,480,02919,536,50347,445,793332,120,551
-1-7-17-19-119-133-323-2,261-146,891-1,028,237-2,497,147-2,790,929-17,480,029-19,536,503-47,445,793-332,120,551

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 332,120,551:


Ask a Question