Q: What are the factor combinations of the number 12,022,225?

 A:
Positive:   1 x 120222255 x 240444525 x 48088937 x 32492541 x 293225185 x 64985205 x 58645317 x 37925925 x 129971025 x 117291517 x 79251585 x 7585
Negative: -1 x -12022225-5 x -2404445-25 x -480889-37 x -324925-41 x -293225-185 x -64985-205 x -58645-317 x -37925-925 x -12997-1025 x -11729-1517 x -7925-1585 x -7585


How do I find the factor combinations of the number 12,022,225?

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 12,022,225, 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 12,022,225
-1 -12,022,225

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 12,022,225.

Example:
1 x 12,022,225 = 12,022,225
and
-1 x -12,022,225 = 12,022,225
Notice both answers equal 12,022,225

With that explanation out of the way, let's continue. Next, we take the number 12,022,225 and divide it by 2:

12,022,225 ÷ 2 = 6,011,112.5

If the quotient is a whole number, then 2 and 6,011,112.5 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 12,022,225
-1 -12,022,225

Now, we try dividing 12,022,225 by 3:

12,022,225 ÷ 3 = 4,007,408.3333

If the quotient is a whole number, then 3 and 4,007,408.3333 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 12,022,225
-1 -12,022,225

Let's try dividing by 4:

12,022,225 ÷ 4 = 3,005,556.25

If the quotient is a whole number, then 4 and 3,005,556.25 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 12,022,225
-1 12,022,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152537411852053179251,0251,5171,5857,5857,92511,72912,99737,92558,64564,985293,225324,925480,8892,404,44512,022,225
-1-5-25-37-41-185-205-317-925-1,025-1,517-1,585-7,585-7,925-11,729-12,997-37,925-58,645-64,985-293,225-324,925-480,889-2,404,445-12,022,225

More Examples

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