Q: What are the factor combinations of the number 13,219,999?

 A:
Positive:   1 x 1321999913 x 101692317 x 77764741 x 322439221 x 59819533 x 24803697 x 189671459 x 9061
Negative: -1 x -13219999-13 x -1016923-17 x -777647-41 x -322439-221 x -59819-533 x -24803-697 x -18967-1459 x -9061


How do I find the factor combinations of the number 13,219,999?

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 13,219,999, 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 13,219,999
-1 -13,219,999

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 13,219,999.

Example:
1 x 13,219,999 = 13,219,999
and
-1 x -13,219,999 = 13,219,999
Notice both answers equal 13,219,999

With that explanation out of the way, let's continue. Next, we take the number 13,219,999 and divide it by 2:

13,219,999 ÷ 2 = 6,609,999.5

If the quotient is a whole number, then 2 and 6,609,999.5 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 13,219,999
-1 -13,219,999

Now, we try dividing 13,219,999 by 3:

13,219,999 ÷ 3 = 4,406,666.3333

If the quotient is a whole number, then 3 and 4,406,666.3333 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 13,219,999
-1 -13,219,999

Let's try dividing by 4:

13,219,999 ÷ 4 = 3,304,999.75

If the quotient is a whole number, then 4 and 3,304,999.75 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 13,219,999
-1 13,219,999
Keep dividing by the next highest number until you cannot divide anymore.

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

11317412215336971,4599,06118,96724,80359,819322,439777,6471,016,92313,219,999
-1-13-17-41-221-533-697-1,459-9,061-18,967-24,803-59,819-322,439-777,647-1,016,923-13,219,999

More Examples

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