Q: What are the factor combinations of the number 332,563,429?

 A:
Positive:   1 x 33256342911 x 302330392663 x 12488311353 x 29293
Negative: -1 x -332563429-11 x -30233039-2663 x -124883-11353 x -29293


How do I find the factor combinations of the number 332,563,429?

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 332,563,429, 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.

1 332,563,429
-1 -332,563,429

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 332,563,429.

Example:
1 x 332,563,429 = 332,563,429
and
-1 x -332,563,429 = 332,563,429
Notice both answers equal 332,563,429

With that explanation out of the way, let's continue. Next, we take the number 332,563,429 and divide it by 2:

332,563,429 ÷ 2 = 166,281,714.5

If the quotient is a whole number, then 2 and 166,281,714.5 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:

1 332,563,429
-1 -332,563,429

Now, we try dividing 332,563,429 by 3:

332,563,429 ÷ 3 = 110,854,476.3333

If the quotient is a whole number, then 3 and 110,854,476.3333 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:

1 332,563,429
-1 -332,563,429

Let's try dividing by 4:

332,563,429 ÷ 4 = 83,140,857.25

If the quotient is a whole number, then 4 and 83,140,857.25 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:

1 332,563,429
-1 332,563,429
Keep dividing by the next highest number until you cannot divide anymore.

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

1112,66311,35329,293124,88330,233,039332,563,429
-1-11-2,663-11,353-29,293-124,883-30,233,039-332,563,429

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 332,563,429:


Ask a Question