Q: What are the factor combinations of the number 1,002,115?

 A:
Positive:   1 x 10021155 x 20042343 x 2330559 x 1698579 x 12685215 x 4661295 x 3397395 x 2537
Negative: -1 x -1002115-5 x -200423-43 x -23305-59 x -16985-79 x -12685-215 x -4661-295 x -3397-395 x -2537


How do I find the factor combinations of the number 1,002,115?

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 1,002,115, 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 1,002,115
-1 -1,002,115

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 1,002,115.

Example:
1 x 1,002,115 = 1,002,115
and
-1 x -1,002,115 = 1,002,115
Notice both answers equal 1,002,115

With that explanation out of the way, let's continue. Next, we take the number 1,002,115 and divide it by 2:

1,002,115 ÷ 2 = 501,057.5

If the quotient is a whole number, then 2 and 501,057.5 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 1,002,115
-1 -1,002,115

Now, we try dividing 1,002,115 by 3:

1,002,115 ÷ 3 = 334,038.3333

If the quotient is a whole number, then 3 and 334,038.3333 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 1,002,115
-1 -1,002,115

Let's try dividing by 4:

1,002,115 ÷ 4 = 250,528.75

If the quotient is a whole number, then 4 and 250,528.75 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 1,002,115
-1 1,002,115
Keep dividing by the next highest number until you cannot divide anymore.

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

154359792152953952,5373,3974,66112,68516,98523,305200,4231,002,115
-1-5-43-59-79-215-295-395-2,537-3,397-4,661-12,685-16,985-23,305-200,423-1,002,115

More Examples

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