Q: What are the factor combinations of the number 331,332,127?

 A:
Positive:   1 x 3313321277 x 4733316119 x 17438533133 x 2491219409 x 8101032863 x 1157296091 x 543977771 x 42637
Negative: -1 x -331332127-7 x -47333161-19 x -17438533-133 x -2491219-409 x -810103-2863 x -115729-6091 x -54397-7771 x -42637


How do I find the factor combinations of the number 331,332,127?

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 331,332,127, 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.

1 331,332,127
-1 -331,332,127

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 331,332,127.

Example:
1 x 331,332,127 = 331,332,127
and
-1 x -331,332,127 = 331,332,127
Notice both answers equal 331,332,127

With that explanation out of the way, let's continue. Next, we take the number 331,332,127 and divide it by 2:

331,332,127 ÷ 2 = 165,666,063.5

If the quotient is a whole number, then 2 and 165,666,063.5 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:

1 331,332,127
-1 -331,332,127

Now, we try dividing 331,332,127 by 3:

331,332,127 ÷ 3 = 110,444,042.3333

If the quotient is a whole number, then 3 and 110,444,042.3333 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:

1 331,332,127
-1 -331,332,127

Let's try dividing by 4:

331,332,127 ÷ 4 = 82,833,031.75

If the quotient is a whole number, then 4 and 82,833,031.75 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:

1 331,332,127
-1 331,332,127
Keep dividing by the next highest number until you cannot divide anymore.

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

17191334092,8636,0917,77142,63754,397115,729810,1032,491,21917,438,53347,333,161331,332,127
-1-7-19-133-409-2,863-6,091-7,771-42,637-54,397-115,729-810,103-2,491,219-17,438,533-47,333,161-331,332,127

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