Q: What are the factor combinations of the number 31,244,419?

 A:
Positive:   1 x 3124441917 x 183790723 x 135845341 x 762059391 x 79909697 x 44827943 x 331331949 x 16031
Negative: -1 x -31244419-17 x -1837907-23 x -1358453-41 x -762059-391 x -79909-697 x -44827-943 x -33133-1949 x -16031


How do I find the factor combinations of the number 31,244,419?

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 31,244,419, 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 31,244,419
-1 -31,244,419

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 31,244,419.

Example:
1 x 31,244,419 = 31,244,419
and
-1 x -31,244,419 = 31,244,419
Notice both answers equal 31,244,419

With that explanation out of the way, let's continue. Next, we take the number 31,244,419 and divide it by 2:

31,244,419 ÷ 2 = 15,622,209.5

If the quotient is a whole number, then 2 and 15,622,209.5 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 31,244,419
-1 -31,244,419

Now, we try dividing 31,244,419 by 3:

31,244,419 ÷ 3 = 10,414,806.3333

If the quotient is a whole number, then 3 and 10,414,806.3333 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 31,244,419
-1 -31,244,419

Let's try dividing by 4:

31,244,419 ÷ 4 = 7,811,104.75

If the quotient is a whole number, then 4 and 7,811,104.75 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 31,244,419
-1 31,244,419
Keep dividing by the next highest number until you cannot divide anymore.

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

11723413916979431,94916,03133,13344,82779,909762,0591,358,4531,837,90731,244,419
-1-17-23-41-391-697-943-1,949-16,031-33,133-44,827-79,909-762,059-1,358,453-1,837,907-31,244,419

More Examples

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