Q: What are the factor combinations of the number 2,018,375?

 A:
Positive:   1 x 20183755 x 40367525 x 8073567 x 30125125 x 16147241 x 8375335 x 60251205 x 1675
Negative: -1 x -2018375-5 x -403675-25 x -80735-67 x -30125-125 x -16147-241 x -8375-335 x -6025-1205 x -1675


How do I find the factor combinations of the number 2,018,375?

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 2,018,375, 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 2,018,375
-1 -2,018,375

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 2,018,375.

Example:
1 x 2,018,375 = 2,018,375
and
-1 x -2,018,375 = 2,018,375
Notice both answers equal 2,018,375

With that explanation out of the way, let's continue. Next, we take the number 2,018,375 and divide it by 2:

2,018,375 ÷ 2 = 1,009,187.5

If the quotient is a whole number, then 2 and 1,009,187.5 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 2,018,375
-1 -2,018,375

Now, we try dividing 2,018,375 by 3:

2,018,375 ÷ 3 = 672,791.6667

If the quotient is a whole number, then 3 and 672,791.6667 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 2,018,375
-1 -2,018,375

Let's try dividing by 4:

2,018,375 ÷ 4 = 504,593.75

If the quotient is a whole number, then 4 and 504,593.75 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 2,018,375
-1 2,018,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525671252413351,2051,6756,0258,37516,14730,12580,735403,6752,018,375
-1-5-25-67-125-241-335-1,205-1,675-6,025-8,375-16,147-30,125-80,735-403,675-2,018,375

More Examples

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