Q: What are the factor combinations of the number 1,006,621?

 A:
Positive:   1 x 10066217 x 14380311 x 9151117 x 5921377 x 13073119 x 8459187 x 5383769 x 1309
Negative: -1 x -1006621-7 x -143803-11 x -91511-17 x -59213-77 x -13073-119 x -8459-187 x -5383-769 x -1309


How do I find the factor combinations of the number 1,006,621?

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 1,006,621, 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 1,006,621
-1 -1,006,621

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 1,006,621.

Example:
1 x 1,006,621 = 1,006,621
and
-1 x -1,006,621 = 1,006,621
Notice both answers equal 1,006,621

With that explanation out of the way, let's continue. Next, we take the number 1,006,621 and divide it by 2:

1,006,621 ÷ 2 = 503,310.5

If the quotient is a whole number, then 2 and 503,310.5 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 1,006,621
-1 -1,006,621

Now, we try dividing 1,006,621 by 3:

1,006,621 ÷ 3 = 335,540.3333

If the quotient is a whole number, then 3 and 335,540.3333 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 1,006,621
-1 -1,006,621

Let's try dividing by 4:

1,006,621 ÷ 4 = 251,655.25

If the quotient is a whole number, then 4 and 251,655.25 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 1,006,621
-1 1,006,621
Keep dividing by the next highest number until you cannot divide anymore.

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

171117771191877691,3095,3838,45913,07359,21391,511143,8031,006,621
-1-7-11-17-77-119-187-769-1,309-5,383-8,459-13,073-59,213-91,511-143,803-1,006,621

More Examples

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