Q: What are the factor combinations of the number 1,331,615?

 A:
Positive:   1 x 13316155 x 26632319 x 7008595 x 14017107 x 12445131 x 10165535 x 2489655 x 2033
Negative: -1 x -1331615-5 x -266323-19 x -70085-95 x -14017-107 x -12445-131 x -10165-535 x -2489-655 x -2033


How do I find the factor combinations of the number 1,331,615?

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 1,331,615, 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 1,331,615
-1 -1,331,615

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 1,331,615.

Example:
1 x 1,331,615 = 1,331,615
and
-1 x -1,331,615 = 1,331,615
Notice both answers equal 1,331,615

With that explanation out of the way, let's continue. Next, we take the number 1,331,615 and divide it by 2:

1,331,615 ÷ 2 = 665,807.5

If the quotient is a whole number, then 2 and 665,807.5 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 1,331,615
-1 -1,331,615

Now, we try dividing 1,331,615 by 3:

1,331,615 ÷ 3 = 443,871.6667

If the quotient is a whole number, then 3 and 443,871.6667 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 1,331,615
-1 -1,331,615

Let's try dividing by 4:

1,331,615 ÷ 4 = 332,903.75

If the quotient is a whole number, then 4 and 332,903.75 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 1,331,615
-1 1,331,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951071315356552,0332,48910,16512,44514,01770,085266,3231,331,615
-1-5-19-95-107-131-535-655-2,033-2,489-10,165-12,445-14,017-70,085-266,323-1,331,615

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