Q: What are the factor combinations of the number 15,321,515?

 A:
Positive:   1 x 153215155 x 306430311 x 139286537 x 41409555 x 278573185 x 82819407 x 376452035 x 7529
Negative: -1 x -15321515-5 x -3064303-11 x -1392865-37 x -414095-55 x -278573-185 x -82819-407 x -37645-2035 x -7529


How do I find the factor combinations of the number 15,321,515?

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 15,321,515, 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 15,321,515
-1 -15,321,515

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 15,321,515.

Example:
1 x 15,321,515 = 15,321,515
and
-1 x -15,321,515 = 15,321,515
Notice both answers equal 15,321,515

With that explanation out of the way, let's continue. Next, we take the number 15,321,515 and divide it by 2:

15,321,515 ÷ 2 = 7,660,757.5

If the quotient is a whole number, then 2 and 7,660,757.5 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 15,321,515
-1 -15,321,515

Now, we try dividing 15,321,515 by 3:

15,321,515 ÷ 3 = 5,107,171.6667

If the quotient is a whole number, then 3 and 5,107,171.6667 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 15,321,515
-1 -15,321,515

Let's try dividing by 4:

15,321,515 ÷ 4 = 3,830,378.75

If the quotient is a whole number, then 4 and 3,830,378.75 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 15,321,515
-1 15,321,515
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551854072,0357,52937,64582,819278,573414,0951,392,8653,064,30315,321,515
-1-5-11-37-55-185-407-2,035-7,529-37,645-82,819-278,573-414,095-1,392,865-3,064,303-15,321,515

More Examples

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