Q: What are the factor combinations of the number 331,022,215?

 A:
Positive:   1 x 3310222155 x 6620444317 x 1947189585 x 3894379281 x 11780151405 x 2356034777 x 6929513859 x 23885
Negative: -1 x -331022215-5 x -66204443-17 x -19471895-85 x -3894379-281 x -1178015-1405 x -235603-4777 x -69295-13859 x -23885


How do I find the factor combinations of the number 331,022,215?

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 331,022,215, 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.

1 331,022,215
-1 -331,022,215

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 331,022,215.

Example:
1 x 331,022,215 = 331,022,215
and
-1 x -331,022,215 = 331,022,215
Notice both answers equal 331,022,215

With that explanation out of the way, let's continue. Next, we take the number 331,022,215 and divide it by 2:

331,022,215 ÷ 2 = 165,511,107.5

If the quotient is a whole number, then 2 and 165,511,107.5 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:

1 331,022,215
-1 -331,022,215

Now, we try dividing 331,022,215 by 3:

331,022,215 ÷ 3 = 110,340,738.3333

If the quotient is a whole number, then 3 and 110,340,738.3333 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:

1 331,022,215
-1 -331,022,215

Let's try dividing by 4:

331,022,215 ÷ 4 = 82,755,553.75

If the quotient is a whole number, then 4 and 82,755,553.75 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:

1 331,022,215
-1 331,022,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852811,4054,77713,85923,88569,295235,6031,178,0153,894,37919,471,89566,204,443331,022,215
-1-5-17-85-281-1,405-4,777-13,859-23,885-69,295-235,603-1,178,015-3,894,379-19,471,895-66,204,443-331,022,215

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