Q: What are the factor combinations of the number 50,120,125?

 A:
Positive:   1 x 501201255 x 1002402511 x 455637525 x 200480555 x 911275125 x 400961275 x 1822551375 x 36451
Negative: -1 x -50120125-5 x -10024025-11 x -4556375-25 x -2004805-55 x -911275-125 x -400961-275 x -182255-1375 x -36451


How do I find the factor combinations of the number 50,120,125?

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 50,120,125, 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 50,120,125
-1 -50,120,125

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 50,120,125.

Example:
1 x 50,120,125 = 50,120,125
and
-1 x -50,120,125 = 50,120,125
Notice both answers equal 50,120,125

With that explanation out of the way, let's continue. Next, we take the number 50,120,125 and divide it by 2:

50,120,125 ÷ 2 = 25,060,062.5

If the quotient is a whole number, then 2 and 25,060,062.5 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 50,120,125
-1 -50,120,125

Now, we try dividing 50,120,125 by 3:

50,120,125 ÷ 3 = 16,706,708.3333

If the quotient is a whole number, then 3 and 16,706,708.3333 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 50,120,125
-1 -50,120,125

Let's try dividing by 4:

50,120,125 ÷ 4 = 12,530,031.25

If the quotient is a whole number, then 4 and 12,530,031.25 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 50,120,125
-1 50,120,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,37536,451182,255400,961911,2752,004,8054,556,37510,024,02550,120,125
-1-5-11-25-55-125-275-1,375-36,451-182,255-400,961-911,275-2,004,805-4,556,375-10,024,025-50,120,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 50,120,125:


Ask a Question