Q: What are the factor combinations of the number 31,440,665?

 A:
Positive:   1 x 314406655 x 628813331 x 1014215155 x 202843193 x 162905965 x 325811051 x 299155255 x 5983
Negative: -1 x -31440665-5 x -6288133-31 x -1014215-155 x -202843-193 x -162905-965 x -32581-1051 x -29915-5255 x -5983


How do I find the factor combinations of the number 31,440,665?

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 31,440,665, 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 31,440,665
-1 -31,440,665

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 31,440,665.

Example:
1 x 31,440,665 = 31,440,665
and
-1 x -31,440,665 = 31,440,665
Notice both answers equal 31,440,665

With that explanation out of the way, let's continue. Next, we take the number 31,440,665 and divide it by 2:

31,440,665 ÷ 2 = 15,720,332.5

If the quotient is a whole number, then 2 and 15,720,332.5 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 31,440,665
-1 -31,440,665

Now, we try dividing 31,440,665 by 3:

31,440,665 ÷ 3 = 10,480,221.6667

If the quotient is a whole number, then 3 and 10,480,221.6667 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 31,440,665
-1 -31,440,665

Let's try dividing by 4:

31,440,665 ÷ 4 = 7,860,166.25

If the quotient is a whole number, then 4 and 7,860,166.25 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 31,440,665
-1 31,440,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15311551939651,0515,2555,98329,91532,581162,905202,8431,014,2156,288,13331,440,665
-1-5-31-155-193-965-1,051-5,255-5,983-29,915-32,581-162,905-202,843-1,014,215-6,288,133-31,440,665

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