Q: What are the factor combinations of the number 2,000,375?

 A:
Positive:   1 x 20003755 x 40007513 x 15387525 x 8001565 x 30775125 x 16003325 x 61551231 x 1625
Negative: -1 x -2000375-5 x -400075-13 x -153875-25 x -80015-65 x -30775-125 x -16003-325 x -6155-1231 x -1625


How do I find the factor combinations of the number 2,000,375?

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 2,000,375, 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 2,000,375
-1 -2,000,375

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 2,000,375.

Example:
1 x 2,000,375 = 2,000,375
and
-1 x -2,000,375 = 2,000,375
Notice both answers equal 2,000,375

With that explanation out of the way, let's continue. Next, we take the number 2,000,375 and divide it by 2:

2,000,375 ÷ 2 = 1,000,187.5

If the quotient is a whole number, then 2 and 1,000,187.5 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 2,000,375
-1 -2,000,375

Now, we try dividing 2,000,375 by 3:

2,000,375 ÷ 3 = 666,791.6667

If the quotient is a whole number, then 3 and 666,791.6667 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 2,000,375
-1 -2,000,375

Let's try dividing by 4:

2,000,375 ÷ 4 = 500,093.75

If the quotient is a whole number, then 4 and 500,093.75 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 2,000,375
-1 2,000,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,2311,6256,15516,00330,77580,015153,875400,0752,000,375
-1-5-13-25-65-125-325-1,231-1,625-6,155-16,003-30,775-80,015-153,875-400,075-2,000,375

More Examples

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