Q: What are the factor combinations of the number 31,192,315?

 A:
Positive:   1 x 311923155 x 62384637 x 445604511 x 283566535 x 89120955 x 56713377 x 405095385 x 81019
Negative: -1 x -31192315-5 x -6238463-7 x -4456045-11 x -2835665-35 x -891209-55 x -567133-77 x -405095-385 x -81019


How do I find the factor combinations of the number 31,192,315?

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 31,192,315, 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 31,192,315
-1 -31,192,315

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 31,192,315.

Example:
1 x 31,192,315 = 31,192,315
and
-1 x -31,192,315 = 31,192,315
Notice both answers equal 31,192,315

With that explanation out of the way, let's continue. Next, we take the number 31,192,315 and divide it by 2:

31,192,315 ÷ 2 = 15,596,157.5

If the quotient is a whole number, then 2 and 15,596,157.5 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 31,192,315
-1 -31,192,315

Now, we try dividing 31,192,315 by 3:

31,192,315 ÷ 3 = 10,397,438.3333

If the quotient is a whole number, then 3 and 10,397,438.3333 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 31,192,315
-1 -31,192,315

Let's try dividing by 4:

31,192,315 ÷ 4 = 7,798,078.75

If the quotient is a whole number, then 4 and 7,798,078.75 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 31,192,315
-1 31,192,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738581,019405,095567,133891,2092,835,6654,456,0456,238,46331,192,315
-1-5-7-11-35-55-77-385-81,019-405,095-567,133-891,209-2,835,665-4,456,045-6,238,463-31,192,315

More Examples

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