Q: What are the factor combinations of the number 331,011,233?

 A:
Positive:   1 x 3310112337 x 4728731917 x 19471249119 x 2781607283 x 11696511981 x 1670934811 x 688039829 x 33677
Negative: -1 x -331011233-7 x -47287319-17 x -19471249-119 x -2781607-283 x -1169651-1981 x -167093-4811 x -68803-9829 x -33677


How do I find the factor combinations of the number 331,011,233?

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 331,011,233, 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.

1 331,011,233
-1 -331,011,233

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 331,011,233.

Example:
1 x 331,011,233 = 331,011,233
and
-1 x -331,011,233 = 331,011,233
Notice both answers equal 331,011,233

With that explanation out of the way, let's continue. Next, we take the number 331,011,233 and divide it by 2:

331,011,233 ÷ 2 = 165,505,616.5

If the quotient is a whole number, then 2 and 165,505,616.5 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:

1 331,011,233
-1 -331,011,233

Now, we try dividing 331,011,233 by 3:

331,011,233 ÷ 3 = 110,337,077.6667

If the quotient is a whole number, then 3 and 110,337,077.6667 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:

1 331,011,233
-1 -331,011,233

Let's try dividing by 4:

331,011,233 ÷ 4 = 82,752,808.25

If the quotient is a whole number, then 4 and 82,752,808.25 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:

1 331,011,233
-1 331,011,233
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192831,9814,8119,82933,67768,803167,0931,169,6512,781,60719,471,24947,287,319331,011,233
-1-7-17-119-283-1,981-4,811-9,829-33,677-68,803-167,093-1,169,651-2,781,607-19,471,249-47,287,319-331,011,233

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