Q: What are the factor combinations of the number 31,331,195?

 A:
Positive:   1 x 313311955 x 62662397 x 447588535 x 895177701 x 446951277 x 245353505 x 89394907 x 6385
Negative: -1 x -31331195-5 x -6266239-7 x -4475885-35 x -895177-701 x -44695-1277 x -24535-3505 x -8939-4907 x -6385


How do I find the factor combinations of the number 31,331,195?

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 31,331,195, 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 31,331,195
-1 -31,331,195

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 31,331,195.

Example:
1 x 31,331,195 = 31,331,195
and
-1 x -31,331,195 = 31,331,195
Notice both answers equal 31,331,195

With that explanation out of the way, let's continue. Next, we take the number 31,331,195 and divide it by 2:

31,331,195 ÷ 2 = 15,665,597.5

If the quotient is a whole number, then 2 and 15,665,597.5 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 31,331,195
-1 -31,331,195

Now, we try dividing 31,331,195 by 3:

31,331,195 ÷ 3 = 10,443,731.6667

If the quotient is a whole number, then 3 and 10,443,731.6667 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 31,331,195
-1 -31,331,195

Let's try dividing by 4:

31,331,195 ÷ 4 = 7,832,798.75

If the quotient is a whole number, then 4 and 7,832,798.75 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 31,331,195
-1 31,331,195
Keep dividing by the next highest number until you cannot divide anymore.

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

157357011,2773,5054,9076,3858,93924,53544,695895,1774,475,8856,266,23931,331,195
-1-5-7-35-701-1,277-3,505-4,907-6,385-8,939-24,535-44,695-895,177-4,475,885-6,266,239-31,331,195

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