Q: What are the factor combinations of the number 31,439,135?

 A:
Positive:   1 x 314391355 x 62878277 x 449130513 x 241839535 x 89826149 x 64161565 x 48367991 x 345485245 x 128323455 x 69097637 x 493553185 x 9871
Negative: -1 x -31439135-5 x -6287827-7 x -4491305-13 x -2418395-35 x -898261-49 x -641615-65 x -483679-91 x -345485-245 x -128323-455 x -69097-637 x -49355-3185 x -9871


How do I find the factor combinations of the number 31,439,135?

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 31,439,135, 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 31,439,135
-1 -31,439,135

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 31,439,135.

Example:
1 x 31,439,135 = 31,439,135
and
-1 x -31,439,135 = 31,439,135
Notice both answers equal 31,439,135

With that explanation out of the way, let's continue. Next, we take the number 31,439,135 and divide it by 2:

31,439,135 ÷ 2 = 15,719,567.5

If the quotient is a whole number, then 2 and 15,719,567.5 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 31,439,135
-1 -31,439,135

Now, we try dividing 31,439,135 by 3:

31,439,135 ÷ 3 = 10,479,711.6667

If the quotient is a whole number, then 3 and 10,479,711.6667 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 31,439,135
-1 -31,439,135

Let's try dividing by 4:

31,439,135 ÷ 4 = 7,859,783.75

If the quotient is a whole number, then 4 and 7,859,783.75 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 31,439,135
-1 31,439,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965912454556373,1859,87149,35569,097128,323345,485483,679641,615898,2612,418,3954,491,3056,287,82731,439,135
-1-5-7-13-35-49-65-91-245-455-637-3,185-9,871-49,355-69,097-128,323-345,485-483,679-641,615-898,261-2,418,395-4,491,305-6,287,827-31,439,135

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