Q: What are the factor combinations of the number 13,722,215?

 A:
Positive:   1 x 137222155 x 274444313 x 105555565 x 211111107 x 128245535 x 256491391 x 98651973 x 6955
Negative: -1 x -13722215-5 x -2744443-13 x -1055555-65 x -211111-107 x -128245-535 x -25649-1391 x -9865-1973 x -6955


How do I find the factor combinations of the number 13,722,215?

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 13,722,215, 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 13,722,215
-1 -13,722,215

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 13,722,215.

Example:
1 x 13,722,215 = 13,722,215
and
-1 x -13,722,215 = 13,722,215
Notice both answers equal 13,722,215

With that explanation out of the way, let's continue. Next, we take the number 13,722,215 and divide it by 2:

13,722,215 ÷ 2 = 6,861,107.5

If the quotient is a whole number, then 2 and 6,861,107.5 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 13,722,215
-1 -13,722,215

Now, we try dividing 13,722,215 by 3:

13,722,215 ÷ 3 = 4,574,071.6667

If the quotient is a whole number, then 3 and 4,574,071.6667 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 13,722,215
-1 -13,722,215

Let's try dividing by 4:

13,722,215 ÷ 4 = 3,430,553.75

If the quotient is a whole number, then 4 and 3,430,553.75 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 13,722,215
-1 13,722,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651075351,3911,9736,9559,86525,649128,245211,1111,055,5552,744,44313,722,215
-1-5-13-65-107-535-1,391-1,973-6,955-9,865-25,649-128,245-211,111-1,055,555-2,744,443-13,722,215

More Examples

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