Q: What are the factor combinations of the number 13,816,835?

 A:
Positive:   1 x 138168355 x 276336717 x 81275553 x 26069585 x 162551265 x 52139901 x 153353067 x 4505
Negative: -1 x -13816835-5 x -2763367-17 x -812755-53 x -260695-85 x -162551-265 x -52139-901 x -15335-3067 x -4505


How do I find the factor combinations of the number 13,816,835?

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 13,816,835, 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 13,816,835
-1 -13,816,835

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 13,816,835.

Example:
1 x 13,816,835 = 13,816,835
and
-1 x -13,816,835 = 13,816,835
Notice both answers equal 13,816,835

With that explanation out of the way, let's continue. Next, we take the number 13,816,835 and divide it by 2:

13,816,835 ÷ 2 = 6,908,417.5

If the quotient is a whole number, then 2 and 6,908,417.5 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 13,816,835
-1 -13,816,835

Now, we try dividing 13,816,835 by 3:

13,816,835 ÷ 3 = 4,605,611.6667

If the quotient is a whole number, then 3 and 4,605,611.6667 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 13,816,835
-1 -13,816,835

Let's try dividing by 4:

13,816,835 ÷ 4 = 3,454,208.75

If the quotient is a whole number, then 4 and 3,454,208.75 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 13,816,835
-1 13,816,835
Keep dividing by the next highest number until you cannot divide anymore.

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

151753852659013,0674,50515,33552,139162,551260,695812,7552,763,36713,816,835
-1-5-17-53-85-265-901-3,067-4,505-15,335-52,139-162,551-260,695-812,755-2,763,367-13,816,835

More Examples

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