Q: What are the factor combinations of the number 1,004,003?

 A:
Positive:   1 x 10040037 x 14342911 x 9127313 x 7723117 x 5905959 x 1701777 x 1303991 x 11033119 x 8437143 x 7021187 x 5369221 x 4543413 x 2431649 x 1547767 x 13091001 x 1003
Negative: -1 x -1004003-7 x -143429-11 x -91273-13 x -77231-17 x -59059-59 x -17017-77 x -13039-91 x -11033-119 x -8437-143 x -7021-187 x -5369-221 x -4543-413 x -2431-649 x -1547-767 x -1309-1001 x -1003


How do I find the factor combinations of the number 1,004,003?

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 1,004,003, 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 1,004,003
-1 -1,004,003

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 1,004,003.

Example:
1 x 1,004,003 = 1,004,003
and
-1 x -1,004,003 = 1,004,003
Notice both answers equal 1,004,003

With that explanation out of the way, let's continue. Next, we take the number 1,004,003 and divide it by 2:

1,004,003 ÷ 2 = 502,001.5

If the quotient is a whole number, then 2 and 502,001.5 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 1,004,003
-1 -1,004,003

Now, we try dividing 1,004,003 by 3:

1,004,003 ÷ 3 = 334,667.6667

If the quotient is a whole number, then 3 and 334,667.6667 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 1,004,003
-1 -1,004,003

Let's try dividing by 4:

1,004,003 ÷ 4 = 251,000.75

If the quotient is a whole number, then 4 and 251,000.75 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 1,004,003
-1 1,004,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171113175977911191431872214136497671,0011,0031,3091,5472,4314,5435,3697,0218,43711,03313,03917,01759,05977,23191,273143,4291,004,003
-1-7-11-13-17-59-77-91-119-143-187-221-413-649-767-1,001-1,003-1,309-1,547-2,431-4,543-5,369-7,021-8,437-11,033-13,039-17,017-59,059-77,231-91,273-143,429-1,004,003

More Examples

Here are some more numbers to try:

1,004,0011,004,0021,004,0041,004,005
Try the factor calculator

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