Q: What are the factor combinations of the number 31,615,655?

 A:
Positive:   1 x 316156555 x 632313129 x 1090195145 x 218039337 x 93815647 x 488651685 x 187633235 x 9773
Negative: -1 x -31615655-5 x -6323131-29 x -1090195-145 x -218039-337 x -93815-647 x -48865-1685 x -18763-3235 x -9773


How do I find the factor combinations of the number 31,615,655?

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 31,615,655, 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 31,615,655
-1 -31,615,655

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 31,615,655.

Example:
1 x 31,615,655 = 31,615,655
and
-1 x -31,615,655 = 31,615,655
Notice both answers equal 31,615,655

With that explanation out of the way, let's continue. Next, we take the number 31,615,655 and divide it by 2:

31,615,655 ÷ 2 = 15,807,827.5

If the quotient is a whole number, then 2 and 15,807,827.5 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 31,615,655
-1 -31,615,655

Now, we try dividing 31,615,655 by 3:

31,615,655 ÷ 3 = 10,538,551.6667

If the quotient is a whole number, then 3 and 10,538,551.6667 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 31,615,655
-1 -31,615,655

Let's try dividing by 4:

31,615,655 ÷ 4 = 7,903,913.75

If the quotient is a whole number, then 4 and 7,903,913.75 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 31,615,655
-1 31,615,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15291453376471,6853,2359,77318,76348,86593,815218,0391,090,1956,323,13131,615,655
-1-5-29-145-337-647-1,685-3,235-9,773-18,763-48,865-93,815-218,039-1,090,195-6,323,131-31,615,655

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