Q: What are the factor combinations of the number 12,482,305?

 A:
Positive:   1 x 124823055 x 249646111 x 113475531 x 40265555 x 226951155 x 80531341 x 366051705 x 7321
Negative: -1 x -12482305-5 x -2496461-11 x -1134755-31 x -402655-55 x -226951-155 x -80531-341 x -36605-1705 x -7321


How do I find the factor combinations of the number 12,482,305?

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 12,482,305, 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 12,482,305
-1 -12,482,305

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 12,482,305.

Example:
1 x 12,482,305 = 12,482,305
and
-1 x -12,482,305 = 12,482,305
Notice both answers equal 12,482,305

With that explanation out of the way, let's continue. Next, we take the number 12,482,305 and divide it by 2:

12,482,305 ÷ 2 = 6,241,152.5

If the quotient is a whole number, then 2 and 6,241,152.5 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 12,482,305
-1 -12,482,305

Now, we try dividing 12,482,305 by 3:

12,482,305 ÷ 3 = 4,160,768.3333

If the quotient is a whole number, then 3 and 4,160,768.3333 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 12,482,305
-1 -12,482,305

Let's try dividing by 4:

12,482,305 ÷ 4 = 3,120,576.25

If the quotient is a whole number, then 4 and 3,120,576.25 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 12,482,305
-1 12,482,305
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551553411,7057,32136,60580,531226,951402,6551,134,7552,496,46112,482,305
-1-5-11-31-55-155-341-1,705-7,321-36,605-80,531-226,951-402,655-1,134,755-2,496,461-12,482,305

More Examples

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