Q: What are the factor combinations of the number 332,132,213?

 A:
Positive:   1 x 3321322137 x 4744745917 x 1953718923 x 14440531119 x 2791027161 x 2062933391 x 8494432737 x 121349
Negative: -1 x -332132213-7 x -47447459-17 x -19537189-23 x -14440531-119 x -2791027-161 x -2062933-391 x -849443-2737 x -121349


How do I find the factor combinations of the number 332,132,213?

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 332,132,213, 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.

1 332,132,213
-1 -332,132,213

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 332,132,213.

Example:
1 x 332,132,213 = 332,132,213
and
-1 x -332,132,213 = 332,132,213
Notice both answers equal 332,132,213

With that explanation out of the way, let's continue. Next, we take the number 332,132,213 and divide it by 2:

332,132,213 ÷ 2 = 166,066,106.5

If the quotient is a whole number, then 2 and 166,066,106.5 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:

1 332,132,213
-1 -332,132,213

Now, we try dividing 332,132,213 by 3:

332,132,213 ÷ 3 = 110,710,737.6667

If the quotient is a whole number, then 3 and 110,710,737.6667 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:

1 332,132,213
-1 -332,132,213

Let's try dividing by 4:

332,132,213 ÷ 4 = 83,033,053.25

If the quotient is a whole number, then 4 and 83,033,053.25 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:

1 332,132,213
-1 332,132,213
Keep dividing by the next highest number until you cannot divide anymore.

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

1717231191613912,737121,349849,4432,062,9332,791,02714,440,53119,537,18947,447,459332,132,213
-1-7-17-23-119-161-391-2,737-121,349-849,443-2,062,933-2,791,027-14,440,531-19,537,189-47,447,459-332,132,213

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