Q: What are the factor combinations of the number 1,002,463?

 A:
Positive:   1 x 10024637 x 14320911 x 9113347 x 2132977 x 13019277 x 3619329 x 3047517 x 1939
Negative: -1 x -1002463-7 x -143209-11 x -91133-47 x -21329-77 x -13019-277 x -3619-329 x -3047-517 x -1939


How do I find the factor combinations of the number 1,002,463?

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 1,002,463, 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 1,002,463
-1 -1,002,463

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 1,002,463.

Example:
1 x 1,002,463 = 1,002,463
and
-1 x -1,002,463 = 1,002,463
Notice both answers equal 1,002,463

With that explanation out of the way, let's continue. Next, we take the number 1,002,463 and divide it by 2:

1,002,463 ÷ 2 = 501,231.5

If the quotient is a whole number, then 2 and 501,231.5 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 1,002,463
-1 -1,002,463

Now, we try dividing 1,002,463 by 3:

1,002,463 ÷ 3 = 334,154.3333

If the quotient is a whole number, then 3 and 334,154.3333 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 1,002,463
-1 -1,002,463

Let's try dividing by 4:

1,002,463 ÷ 4 = 250,615.75

If the quotient is a whole number, then 4 and 250,615.75 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 1,002,463
-1 1,002,463
Keep dividing by the next highest number until you cannot divide anymore.

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

171147772773295171,9393,0473,61913,01921,32991,133143,2091,002,463
-1-7-11-47-77-277-329-517-1,939-3,047-3,619-13,019-21,329-91,133-143,209-1,002,463

More Examples

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