Q: What are the factor combinations of the number 332,416,381?

 A:
Positive:   1 x 33241638111 x 3021967119 x 1749559997 x 3426973209 x 1590509361 x 920821863 x 3851871067 x 3115431843 x 1803673971 x 837119493 x 3501716397 x 20273
Negative: -1 x -332416381-11 x -30219671-19 x -17495599-97 x -3426973-209 x -1590509-361 x -920821-863 x -385187-1067 x -311543-1843 x -180367-3971 x -83711-9493 x -35017-16397 x -20273


How do I find the factor combinations of the number 332,416,381?

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 332,416,381, 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.

1 332,416,381
-1 -332,416,381

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 332,416,381.

Example:
1 x 332,416,381 = 332,416,381
and
-1 x -332,416,381 = 332,416,381
Notice both answers equal 332,416,381

With that explanation out of the way, let's continue. Next, we take the number 332,416,381 and divide it by 2:

332,416,381 ÷ 2 = 166,208,190.5

If the quotient is a whole number, then 2 and 166,208,190.5 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:

1 332,416,381
-1 -332,416,381

Now, we try dividing 332,416,381 by 3:

332,416,381 ÷ 3 = 110,805,460.3333

If the quotient is a whole number, then 3 and 110,805,460.3333 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:

1 332,416,381
-1 -332,416,381

Let's try dividing by 4:

332,416,381 ÷ 4 = 83,104,095.25

If the quotient is a whole number, then 4 and 83,104,095.25 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:

1 332,416,381
-1 332,416,381
Keep dividing by the next highest number until you cannot divide anymore.

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

11119972093618631,0671,8433,9719,49316,39720,27335,01783,711180,367311,543385,187920,8211,590,5093,426,97317,495,59930,219,671332,416,381
-1-11-19-97-209-361-863-1,067-1,843-3,971-9,493-16,397-20,273-35,017-83,711-180,367-311,543-385,187-920,821-1,590,509-3,426,973-17,495,599-30,219,671-332,416,381

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