Q: What are the factor combinations of the number 12,304,325?

 A:
Positive:   1 x 123043255 x 246086511 x 111857525 x 49217355 x 223715101 x 121825275 x 44743443 x 27775505 x 243651111 x 110752215 x 55552525 x 4873
Negative: -1 x -12304325-5 x -2460865-11 x -1118575-25 x -492173-55 x -223715-101 x -121825-275 x -44743-443 x -27775-505 x -24365-1111 x -11075-2215 x -5555-2525 x -4873


How do I find the factor combinations of the number 12,304,325?

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 12,304,325, 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 12,304,325
-1 -12,304,325

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 12,304,325.

Example:
1 x 12,304,325 = 12,304,325
and
-1 x -12,304,325 = 12,304,325
Notice both answers equal 12,304,325

With that explanation out of the way, let's continue. Next, we take the number 12,304,325 and divide it by 2:

12,304,325 ÷ 2 = 6,152,162.5

If the quotient is a whole number, then 2 and 6,152,162.5 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 12,304,325
-1 -12,304,325

Now, we try dividing 12,304,325 by 3:

12,304,325 ÷ 3 = 4,101,441.6667

If the quotient is a whole number, then 3 and 4,101,441.6667 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 12,304,325
-1 -12,304,325

Let's try dividing by 4:

12,304,325 ÷ 4 = 3,076,081.25

If the quotient is a whole number, then 4 and 3,076,081.25 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 12,304,325
-1 12,304,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551012754435051,1112,2152,5254,8735,55511,07524,36527,77544,743121,825223,715492,1731,118,5752,460,86512,304,325
-1-5-11-25-55-101-275-443-505-1,111-2,215-2,525-4,873-5,555-11,075-24,365-27,775-44,743-121,825-223,715-492,173-1,118,575-2,460,865-12,304,325

More Examples

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