Q: What are the factor combinations of the number 20,017,025?

 A:
Positive:   1 x 200170255 x 40034057 x 285957525 x 80068135 x 571915107 x 187075175 x 114383535 x 37415749 x 267251069 x 187252675 x 74833745 x 5345
Negative: -1 x -20017025-5 x -4003405-7 x -2859575-25 x -800681-35 x -571915-107 x -187075-175 x -114383-535 x -37415-749 x -26725-1069 x -18725-2675 x -7483-3745 x -5345


How do I find the factor combinations of the number 20,017,025?

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 20,017,025, 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 20,017,025
-1 -20,017,025

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 20,017,025.

Example:
1 x 20,017,025 = 20,017,025
and
-1 x -20,017,025 = 20,017,025
Notice both answers equal 20,017,025

With that explanation out of the way, let's continue. Next, we take the number 20,017,025 and divide it by 2:

20,017,025 ÷ 2 = 10,008,512.5

If the quotient is a whole number, then 2 and 10,008,512.5 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 20,017,025
-1 -20,017,025

Now, we try dividing 20,017,025 by 3:

20,017,025 ÷ 3 = 6,672,341.6667

If the quotient is a whole number, then 3 and 6,672,341.6667 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 20,017,025
-1 -20,017,025

Let's try dividing by 4:

20,017,025 ÷ 4 = 5,004,256.25

If the quotient is a whole number, then 4 and 5,004,256.25 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 20,017,025
-1 20,017,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351071755357491,0692,6753,7455,3457,48318,72526,72537,415114,383187,075571,915800,6812,859,5754,003,40520,017,025
-1-5-7-25-35-107-175-535-749-1,069-2,675-3,745-5,345-7,483-18,725-26,725-37,415-114,383-187,075-571,915-800,681-2,859,575-4,003,405-20,017,025

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