Q: What are the factor combinations of the number 13,322,815?

 A:
Positive:   1 x 133228155 x 266456311 x 121116517 x 78369555 x 24223385 x 156739187 x 71245935 x 14249
Negative: -1 x -13322815-5 x -2664563-11 x -1211165-17 x -783695-55 x -242233-85 x -156739-187 x -71245-935 x -14249


How do I find the factor combinations of the number 13,322,815?

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 13,322,815, 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 13,322,815
-1 -13,322,815

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 13,322,815.

Example:
1 x 13,322,815 = 13,322,815
and
-1 x -13,322,815 = 13,322,815
Notice both answers equal 13,322,815

With that explanation out of the way, let's continue. Next, we take the number 13,322,815 and divide it by 2:

13,322,815 ÷ 2 = 6,661,407.5

If the quotient is a whole number, then 2 and 6,661,407.5 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 13,322,815
-1 -13,322,815

Now, we try dividing 13,322,815 by 3:

13,322,815 ÷ 3 = 4,440,938.3333

If the quotient is a whole number, then 3 and 4,440,938.3333 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 13,322,815
-1 -13,322,815

Let's try dividing by 4:

13,322,815 ÷ 4 = 3,330,703.75

If the quotient is a whole number, then 4 and 3,330,703.75 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 13,322,815
-1 13,322,815
Keep dividing by the next highest number until you cannot divide anymore.

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

151117558518793514,24971,245156,739242,233783,6951,211,1652,664,56313,322,815
-1-5-11-17-55-85-187-935-14,249-71,245-156,739-242,233-783,695-1,211,165-2,664,563-13,322,815

More Examples

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