Q: What are the factor combinations of the number 15,555,925?

 A:
Positive:   1 x 155559255 x 31111857 x 222227511 x 141417525 x 62223735 x 44445555 x 28283577 x 202025175 x 88891275 x 56567385 x 404051925 x 8081
Negative: -1 x -15555925-5 x -3111185-7 x -2222275-11 x -1414175-25 x -622237-35 x -444455-55 x -282835-77 x -202025-175 x -88891-275 x -56567-385 x -40405-1925 x -8081


How do I find the factor combinations of the number 15,555,925?

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 15,555,925, 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 15,555,925
-1 -15,555,925

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 15,555,925.

Example:
1 x 15,555,925 = 15,555,925
and
-1 x -15,555,925 = 15,555,925
Notice both answers equal 15,555,925

With that explanation out of the way, let's continue. Next, we take the number 15,555,925 and divide it by 2:

15,555,925 ÷ 2 = 7,777,962.5

If the quotient is a whole number, then 2 and 7,777,962.5 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 15,555,925
-1 -15,555,925

Now, we try dividing 15,555,925 by 3:

15,555,925 ÷ 3 = 5,185,308.3333

If the quotient is a whole number, then 3 and 5,185,308.3333 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 15,555,925
-1 -15,555,925

Let's try dividing by 4:

15,555,925 ÷ 4 = 3,888,981.25

If the quotient is a whole number, then 4 and 3,888,981.25 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 15,555,925
-1 15,555,925
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753851,9258,08140,40556,56788,891202,025282,835444,455622,2371,414,1752,222,2753,111,18515,555,925
-1-5-7-11-25-35-55-77-175-275-385-1,925-8,081-40,405-56,567-88,891-202,025-282,835-444,455-622,237-1,414,175-2,222,275-3,111,185-15,555,925

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,555,925:


Ask a Question