Q: What are the factor combinations of the number 13,224,355?

 A:
Positive:   1 x 132243555 x 264487137 x 357415185 x 71483
Negative: -1 x -13224355-5 x -2644871-37 x -357415-185 x -71483


How do I find the factor combinations of the number 13,224,355?

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 13,224,355, 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 13,224,355
-1 -13,224,355

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 13,224,355.

Example:
1 x 13,224,355 = 13,224,355
and
-1 x -13,224,355 = 13,224,355
Notice both answers equal 13,224,355

With that explanation out of the way, let's continue. Next, we take the number 13,224,355 and divide it by 2:

13,224,355 ÷ 2 = 6,612,177.5

If the quotient is a whole number, then 2 and 6,612,177.5 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 13,224,355
-1 -13,224,355

Now, we try dividing 13,224,355 by 3:

13,224,355 ÷ 3 = 4,408,118.3333

If the quotient is a whole number, then 3 and 4,408,118.3333 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 13,224,355
-1 -13,224,355

Let's try dividing by 4:

13,224,355 ÷ 4 = 3,306,088.75

If the quotient is a whole number, then 4 and 3,306,088.75 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 13,224,355
-1 13,224,355
Keep dividing by the next highest number until you cannot divide anymore.

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

153718571,483357,4152,644,87113,224,355
-1-5-37-185-71,483-357,415-2,644,871-13,224,355

More Examples

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