Q: What are the factor combinations of the number 15,220,015?

 A:
Positive:   1 x 152200155 x 304400317 x 89529585 x 179059137 x 111095685 x 222191307 x 116452329 x 6535
Negative: -1 x -15220015-5 x -3044003-17 x -895295-85 x -179059-137 x -111095-685 x -22219-1307 x -11645-2329 x -6535


How do I find the factor combinations of the number 15,220,015?

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 15,220,015, 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 15,220,015
-1 -15,220,015

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 15,220,015.

Example:
1 x 15,220,015 = 15,220,015
and
-1 x -15,220,015 = 15,220,015
Notice both answers equal 15,220,015

With that explanation out of the way, let's continue. Next, we take the number 15,220,015 and divide it by 2:

15,220,015 ÷ 2 = 7,610,007.5

If the quotient is a whole number, then 2 and 7,610,007.5 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 15,220,015
-1 -15,220,015

Now, we try dividing 15,220,015 by 3:

15,220,015 ÷ 3 = 5,073,338.3333

If the quotient is a whole number, then 3 and 5,073,338.3333 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 15,220,015
-1 -15,220,015

Let's try dividing by 4:

15,220,015 ÷ 4 = 3,805,003.75

If the quotient is a whole number, then 4 and 3,805,003.75 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 15,220,015
-1 15,220,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851376851,3072,3296,53511,64522,219111,095179,059895,2953,044,00315,220,015
-1-5-17-85-137-685-1,307-2,329-6,535-11,645-22,219-111,095-179,059-895,295-3,044,003-15,220,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,220,015:


Ask a Question