Q: What are the factor combinations of the number 2,017,603?

 A:
Positive:   1 x 20176037 x 28822943 x 46921301 x 6703
Negative: -1 x -2017603-7 x -288229-43 x -46921-301 x -6703


How do I find the factor combinations of the number 2,017,603?

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 2,017,603, 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 2,017,603
-1 -2,017,603

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 2,017,603.

Example:
1 x 2,017,603 = 2,017,603
and
-1 x -2,017,603 = 2,017,603
Notice both answers equal 2,017,603

With that explanation out of the way, let's continue. Next, we take the number 2,017,603 and divide it by 2:

2,017,603 ÷ 2 = 1,008,801.5

If the quotient is a whole number, then 2 and 1,008,801.5 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 2,017,603
-1 -2,017,603

Now, we try dividing 2,017,603 by 3:

2,017,603 ÷ 3 = 672,534.3333

If the quotient is a whole number, then 3 and 672,534.3333 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 2,017,603
-1 -2,017,603

Let's try dividing by 4:

2,017,603 ÷ 4 = 504,400.75

If the quotient is a whole number, then 4 and 504,400.75 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 2,017,603
-1 2,017,603
Keep dividing by the next highest number until you cannot divide anymore.

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

17433016,70346,921288,2292,017,603
-1-7-43-301-6,703-46,921-288,229-2,017,603

More Examples

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