Q: What are the factor combinations of the number 15,002,875?

 A:
Positive:   1 x 150028755 x 300057519 x 78962525 x 60011595 x 157925125 x 120023475 x 315852375 x 6317
Negative: -1 x -15002875-5 x -3000575-19 x -789625-25 x -600115-95 x -157925-125 x -120023-475 x -31585-2375 x -6317


How do I find the factor combinations of the number 15,002,875?

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 15,002,875, 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 15,002,875
-1 -15,002,875

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 15,002,875.

Example:
1 x 15,002,875 = 15,002,875
and
-1 x -15,002,875 = 15,002,875
Notice both answers equal 15,002,875

With that explanation out of the way, let's continue. Next, we take the number 15,002,875 and divide it by 2:

15,002,875 ÷ 2 = 7,501,437.5

If the quotient is a whole number, then 2 and 7,501,437.5 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 15,002,875
-1 -15,002,875

Now, we try dividing 15,002,875 by 3:

15,002,875 ÷ 3 = 5,000,958.3333

If the quotient is a whole number, then 3 and 5,000,958.3333 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 15,002,875
-1 -15,002,875

Let's try dividing by 4:

15,002,875 ÷ 4 = 3,750,718.75

If the quotient is a whole number, then 4 and 3,750,718.75 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 15,002,875
-1 15,002,875
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951254752,3756,31731,585120,023157,925600,115789,6253,000,57515,002,875
-1-5-19-25-95-125-475-2,375-6,317-31,585-120,023-157,925-600,115-789,625-3,000,575-15,002,875

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 15,002,875:


Ask a Question