Q: What are the factor combinations of the number 24,540,125?

 A:
Positive:   1 x 245401255 x 490802525 x 981605125 x 196321137 x 179125685 x 358251433 x 171253425 x 7165
Negative: -1 x -24540125-5 x -4908025-25 x -981605-125 x -196321-137 x -179125-685 x -35825-1433 x -17125-3425 x -7165


How do I find the factor combinations of the number 24,540,125?

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 24,540,125, 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 24,540,125
-1 -24,540,125

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 24,540,125.

Example:
1 x 24,540,125 = 24,540,125
and
-1 x -24,540,125 = 24,540,125
Notice both answers equal 24,540,125

With that explanation out of the way, let's continue. Next, we take the number 24,540,125 and divide it by 2:

24,540,125 ÷ 2 = 12,270,062.5

If the quotient is a whole number, then 2 and 12,270,062.5 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 24,540,125
-1 -24,540,125

Now, we try dividing 24,540,125 by 3:

24,540,125 ÷ 3 = 8,180,041.6667

If the quotient is a whole number, then 3 and 8,180,041.6667 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 24,540,125
-1 -24,540,125

Let's try dividing by 4:

24,540,125 ÷ 4 = 6,135,031.25

If the quotient is a whole number, then 4 and 6,135,031.25 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 24,540,125
-1 24,540,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251376851,4333,4257,16517,12535,825179,125196,321981,6054,908,02524,540,125
-1-5-25-125-137-685-1,433-3,425-7,165-17,125-35,825-179,125-196,321-981,605-4,908,025-24,540,125

More Examples

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