Q: What are the factor combinations of the number 1,021,315?

 A:
Positive:   1 x 10213155 x 20426323 x 4440583 x 12305107 x 9545115 x 8881415 x 2461535 x 1909
Negative: -1 x -1021315-5 x -204263-23 x -44405-83 x -12305-107 x -9545-115 x -8881-415 x -2461-535 x -1909


How do I find the factor combinations of the number 1,021,315?

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 1,021,315, 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 1,021,315
-1 -1,021,315

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 1,021,315.

Example:
1 x 1,021,315 = 1,021,315
and
-1 x -1,021,315 = 1,021,315
Notice both answers equal 1,021,315

With that explanation out of the way, let's continue. Next, we take the number 1,021,315 and divide it by 2:

1,021,315 ÷ 2 = 510,657.5

If the quotient is a whole number, then 2 and 510,657.5 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 1,021,315
-1 -1,021,315

Now, we try dividing 1,021,315 by 3:

1,021,315 ÷ 3 = 340,438.3333

If the quotient is a whole number, then 3 and 340,438.3333 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 1,021,315
-1 -1,021,315

Let's try dividing by 4:

1,021,315 ÷ 4 = 255,328.75

If the quotient is a whole number, then 4 and 255,328.75 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 1,021,315
-1 1,021,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1523831071154155351,9092,4618,8819,54512,30544,405204,2631,021,315
-1-5-23-83-107-115-415-535-1,909-2,461-8,881-9,545-12,305-44,405-204,263-1,021,315

More Examples

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