Q: What are the factor combinations of the number 20,031,025?

 A:
Positive:   1 x 200310255 x 40062057 x 286157525 x 80124129 x 69072535 x 572315145 x 138145175 x 114463203 x 98675725 x 276291015 x 197353947 x 5075
Negative: -1 x -20031025-5 x -4006205-7 x -2861575-25 x -801241-29 x -690725-35 x -572315-145 x -138145-175 x -114463-203 x -98675-725 x -27629-1015 x -19735-3947 x -5075


How do I find the factor combinations of the number 20,031,025?

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 20,031,025, 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 20,031,025
-1 -20,031,025

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 20,031,025.

Example:
1 x 20,031,025 = 20,031,025
and
-1 x -20,031,025 = 20,031,025
Notice both answers equal 20,031,025

With that explanation out of the way, let's continue. Next, we take the number 20,031,025 and divide it by 2:

20,031,025 ÷ 2 = 10,015,512.5

If the quotient is a whole number, then 2 and 10,015,512.5 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 20,031,025
-1 -20,031,025

Now, we try dividing 20,031,025 by 3:

20,031,025 ÷ 3 = 6,677,008.3333

If the quotient is a whole number, then 3 and 6,677,008.3333 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 20,031,025
-1 -20,031,025

Let's try dividing by 4:

20,031,025 ÷ 4 = 5,007,756.25

If the quotient is a whole number, then 4 and 5,007,756.25 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 20,031,025
-1 20,031,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1572529351451752037251,0153,9475,07519,73527,62998,675114,463138,145572,315690,725801,2412,861,5754,006,20520,031,025
-1-5-7-25-29-35-145-175-203-725-1,015-3,947-5,075-19,735-27,629-98,675-114,463-138,145-572,315-690,725-801,241-2,861,575-4,006,205-20,031,025

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