Q: What are the factor combinations of the number 1,382,801?

 A:
Positive:   1 x 13828017 x 19754319 x 7277937 x 37373133 x 10397259 x 5339281 x 4921703 x 1967
Negative: -1 x -1382801-7 x -197543-19 x -72779-37 x -37373-133 x -10397-259 x -5339-281 x -4921-703 x -1967


How do I find the factor combinations of the number 1,382,801?

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 1,382,801, 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 1,382,801
-1 -1,382,801

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 1,382,801.

Example:
1 x 1,382,801 = 1,382,801
and
-1 x -1,382,801 = 1,382,801
Notice both answers equal 1,382,801

With that explanation out of the way, let's continue. Next, we take the number 1,382,801 and divide it by 2:

1,382,801 ÷ 2 = 691,400.5

If the quotient is a whole number, then 2 and 691,400.5 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 1,382,801
-1 -1,382,801

Now, we try dividing 1,382,801 by 3:

1,382,801 ÷ 3 = 460,933.6667

If the quotient is a whole number, then 3 and 460,933.6667 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 1,382,801
-1 -1,382,801

Let's try dividing by 4:

1,382,801 ÷ 4 = 345,700.25

If the quotient is a whole number, then 4 and 345,700.25 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 1,382,801
-1 1,382,801
Keep dividing by the next highest number until you cannot divide anymore.

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

1719371332592817031,9674,9215,33910,39737,37372,779197,5431,382,801
-1-7-19-37-133-259-281-703-1,967-4,921-5,339-10,397-37,373-72,779-197,543-1,382,801

More Examples

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