Q: What are the factor combinations of the number 332,005,145?

 A:
Positive:   1 x 3320051455 x 6640102919 x 1747395595 x 3494791397 x 8362851985 x 1672577543 x 440158803 x 37715
Negative: -1 x -332005145-5 x -66401029-19 x -17473955-95 x -3494791-397 x -836285-1985 x -167257-7543 x -44015-8803 x -37715


How do I find the factor combinations of the number 332,005,145?

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 332,005,145, 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.

1 332,005,145
-1 -332,005,145

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 332,005,145.

Example:
1 x 332,005,145 = 332,005,145
and
-1 x -332,005,145 = 332,005,145
Notice both answers equal 332,005,145

With that explanation out of the way, let's continue. Next, we take the number 332,005,145 and divide it by 2:

332,005,145 ÷ 2 = 166,002,572.5

If the quotient is a whole number, then 2 and 166,002,572.5 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:

1 332,005,145
-1 -332,005,145

Now, we try dividing 332,005,145 by 3:

332,005,145 ÷ 3 = 110,668,381.6667

If the quotient is a whole number, then 3 and 110,668,381.6667 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:

1 332,005,145
-1 -332,005,145

Let's try dividing by 4:

332,005,145 ÷ 4 = 83,001,286.25

If the quotient is a whole number, then 4 and 83,001,286.25 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:

1 332,005,145
-1 332,005,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953971,9857,5438,80337,71544,015167,257836,2853,494,79117,473,95566,401,029332,005,145
-1-5-19-95-397-1,985-7,543-8,803-37,715-44,015-167,257-836,285-3,494,791-17,473,955-66,401,029-332,005,145

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