Q: What are the factor combinations of the number 332,130,323?

 A:
Positive:   1 x 3321303237 x 4744718943 x 772396167 x 4957169301 x 1103423383 x 867181469 x 7081671849 x 1796272681 x 1238832881 x 11528312943 x 2566116469 x 20167
Negative: -1 x -332130323-7 x -47447189-43 x -7723961-67 x -4957169-301 x -1103423-383 x -867181-469 x -708167-1849 x -179627-2681 x -123883-2881 x -115283-12943 x -25661-16469 x -20167


How do I find the factor combinations of the number 332,130,323?

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 332,130,323, 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.

1 332,130,323
-1 -332,130,323

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 332,130,323.

Example:
1 x 332,130,323 = 332,130,323
and
-1 x -332,130,323 = 332,130,323
Notice both answers equal 332,130,323

With that explanation out of the way, let's continue. Next, we take the number 332,130,323 and divide it by 2:

332,130,323 ÷ 2 = 166,065,161.5

If the quotient is a whole number, then 2 and 166,065,161.5 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:

1 332,130,323
-1 -332,130,323

Now, we try dividing 332,130,323 by 3:

332,130,323 ÷ 3 = 110,710,107.6667

If the quotient is a whole number, then 3 and 110,710,107.6667 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:

1 332,130,323
-1 -332,130,323

Let's try dividing by 4:

332,130,323 ÷ 4 = 83,032,580.75

If the quotient is a whole number, then 4 and 83,032,580.75 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:

1 332,130,323
-1 332,130,323
Keep dividing by the next highest number until you cannot divide anymore.

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

1743673013834691,8492,6812,88112,94316,46920,16725,661115,283123,883179,627708,167867,1811,103,4234,957,1697,723,96147,447,189332,130,323
-1-7-43-67-301-383-469-1,849-2,681-2,881-12,943-16,469-20,167-25,661-115,283-123,883-179,627-708,167-867,181-1,103,423-4,957,169-7,723,961-47,447,189-332,130,323

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