Q: What are the factor combinations of the number 15,502,715?

 A:
Positive:   1 x 155027155 x 310054341 x 37811547 x 329845205 x 75623235 x 659691609 x 96351927 x 8045
Negative: -1 x -15502715-5 x -3100543-41 x -378115-47 x -329845-205 x -75623-235 x -65969-1609 x -9635-1927 x -8045


How do I find the factor combinations of the number 15,502,715?

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 15,502,715, 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 15,502,715
-1 -15,502,715

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 15,502,715.

Example:
1 x 15,502,715 = 15,502,715
and
-1 x -15,502,715 = 15,502,715
Notice both answers equal 15,502,715

With that explanation out of the way, let's continue. Next, we take the number 15,502,715 and divide it by 2:

15,502,715 ÷ 2 = 7,751,357.5

If the quotient is a whole number, then 2 and 7,751,357.5 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 15,502,715
-1 -15,502,715

Now, we try dividing 15,502,715 by 3:

15,502,715 ÷ 3 = 5,167,571.6667

If the quotient is a whole number, then 3 and 5,167,571.6667 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 15,502,715
-1 -15,502,715

Let's try dividing by 4:

15,502,715 ÷ 4 = 3,875,678.75

If the quotient is a whole number, then 4 and 3,875,678.75 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 15,502,715
-1 15,502,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1541472052351,6091,9278,0459,63565,96975,623329,845378,1153,100,54315,502,715
-1-5-41-47-205-235-1,609-1,927-8,045-9,635-65,969-75,623-329,845-378,115-3,100,543-15,502,715

More Examples

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