Q: What are the factor combinations of the number 13,314,655?

 A:
Positive:   1 x 133146555 x 266293117 x 78321531 x 42950585 x 156643155 x 85901163 x 81685527 x 25265815 x 16337961 x 138552635 x 50532771 x 4805
Negative: -1 x -13314655-5 x -2662931-17 x -783215-31 x -429505-85 x -156643-155 x -85901-163 x -81685-527 x -25265-815 x -16337-961 x -13855-2635 x -5053-2771 x -4805


How do I find the factor combinations of the number 13,314,655?

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 13,314,655, 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 13,314,655
-1 -13,314,655

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 13,314,655.

Example:
1 x 13,314,655 = 13,314,655
and
-1 x -13,314,655 = 13,314,655
Notice both answers equal 13,314,655

With that explanation out of the way, let's continue. Next, we take the number 13,314,655 and divide it by 2:

13,314,655 ÷ 2 = 6,657,327.5

If the quotient is a whole number, then 2 and 6,657,327.5 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 13,314,655
-1 -13,314,655

Now, we try dividing 13,314,655 by 3:

13,314,655 ÷ 3 = 4,438,218.3333

If the quotient is a whole number, then 3 and 4,438,218.3333 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 13,314,655
-1 -13,314,655

Let's try dividing by 4:

13,314,655 ÷ 4 = 3,328,663.75

If the quotient is a whole number, then 4 and 3,328,663.75 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 13,314,655
-1 13,314,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151731851551635278159612,6352,7714,8055,05313,85516,33725,26581,68585,901156,643429,505783,2152,662,93113,314,655
-1-5-17-31-85-155-163-527-815-961-2,635-2,771-4,805-5,053-13,855-16,337-25,265-81,685-85,901-156,643-429,505-783,215-2,662,931-13,314,655

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