Q: What are the factor combinations of the number 332,455,045?

 A:
Positive:   1 x 3324550455 x 6649100913 x 2557346565 x 5114693193 x 1722565965 x 3445132509 x 13250512545 x 26501
Negative: -1 x -332455045-5 x -66491009-13 x -25573465-65 x -5114693-193 x -1722565-965 x -344513-2509 x -132505-12545 x -26501


How do I find the factor combinations of the number 332,455,045?

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 332,455,045, 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.

1 332,455,045
-1 -332,455,045

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 332,455,045.

Example:
1 x 332,455,045 = 332,455,045
and
-1 x -332,455,045 = 332,455,045
Notice both answers equal 332,455,045

With that explanation out of the way, let's continue. Next, we take the number 332,455,045 and divide it by 2:

332,455,045 ÷ 2 = 166,227,522.5

If the quotient is a whole number, then 2 and 166,227,522.5 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:

1 332,455,045
-1 -332,455,045

Now, we try dividing 332,455,045 by 3:

332,455,045 ÷ 3 = 110,818,348.3333

If the quotient is a whole number, then 3 and 110,818,348.3333 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:

1 332,455,045
-1 -332,455,045

Let's try dividing by 4:

332,455,045 ÷ 4 = 83,113,761.25

If the quotient is a whole number, then 4 and 83,113,761.25 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:

1 332,455,045
-1 332,455,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651939652,50912,54526,501132,505344,5131,722,5655,114,69325,573,46566,491,009332,455,045
-1-5-13-65-193-965-2,509-12,545-26,501-132,505-344,513-1,722,565-5,114,693-25,573,465-66,491,009-332,455,045

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