Q: What are the factor combinations of the number 2,001,025?

 A:
Positive:   1 x 20010255 x 40020513 x 15392525 x 8004147 x 4257565 x 30785131 x 15275235 x 8515325 x 6157611 x 3275655 x 30551175 x 1703
Negative: -1 x -2001025-5 x -400205-13 x -153925-25 x -80041-47 x -42575-65 x -30785-131 x -15275-235 x -8515-325 x -6157-611 x -3275-655 x -3055-1175 x -1703


How do I find the factor combinations of the number 2,001,025?

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 2,001,025, 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 2,001,025
-1 -2,001,025

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 2,001,025.

Example:
1 x 2,001,025 = 2,001,025
and
-1 x -2,001,025 = 2,001,025
Notice both answers equal 2,001,025

With that explanation out of the way, let's continue. Next, we take the number 2,001,025 and divide it by 2:

2,001,025 ÷ 2 = 1,000,512.5

If the quotient is a whole number, then 2 and 1,000,512.5 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 2,001,025
-1 -2,001,025

Now, we try dividing 2,001,025 by 3:

2,001,025 ÷ 3 = 667,008.3333

If the quotient is a whole number, then 3 and 667,008.3333 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 2,001,025
-1 -2,001,025

Let's try dividing by 4:

2,001,025 ÷ 4 = 500,256.25

If the quotient is a whole number, then 4 and 500,256.25 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 2,001,025
-1 2,001,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132547651312353256116551,1751,7033,0553,2756,1578,51515,27530,78542,57580,041153,925400,2052,001,025
-1-5-13-25-47-65-131-235-325-611-655-1,175-1,703-3,055-3,275-6,157-8,515-15,275-30,785-42,575-80,041-153,925-400,205-2,001,025

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