Q: What are the factor combinations of the number 13,200,245?

 A:
Positive:   1 x 132002455 x 264004917 x 77648585 x 15529797 x 136085485 x 272171601 x 82451649 x 8005
Negative: -1 x -13200245-5 x -2640049-17 x -776485-85 x -155297-97 x -136085-485 x -27217-1601 x -8245-1649 x -8005


How do I find the factor combinations of the number 13,200,245?

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 13,200,245, 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 13,200,245
-1 -13,200,245

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 13,200,245.

Example:
1 x 13,200,245 = 13,200,245
and
-1 x -13,200,245 = 13,200,245
Notice both answers equal 13,200,245

With that explanation out of the way, let's continue. Next, we take the number 13,200,245 and divide it by 2:

13,200,245 ÷ 2 = 6,600,122.5

If the quotient is a whole number, then 2 and 6,600,122.5 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 13,200,245
-1 -13,200,245

Now, we try dividing 13,200,245 by 3:

13,200,245 ÷ 3 = 4,400,081.6667

If the quotient is a whole number, then 3 and 4,400,081.6667 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 13,200,245
-1 -13,200,245

Let's try dividing by 4:

13,200,245 ÷ 4 = 3,300,061.25

If the quotient is a whole number, then 4 and 3,300,061.25 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 13,200,245
-1 13,200,245
Keep dividing by the next highest number until you cannot divide anymore.

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

151785974851,6011,6498,0058,24527,217136,085155,297776,4852,640,04913,200,245
-1-5-17-85-97-485-1,601-1,649-8,005-8,245-27,217-136,085-155,297-776,485-2,640,049-13,200,245

More Examples

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