Q: What are the factor combinations of the number 24,002,125?

 A:
Positive:   1 x 240021255 x 48004257 x 342887525 x 96008535 x 685775125 x 192017175 x 137155875 x 27431
Negative: -1 x -24002125-5 x -4800425-7 x -3428875-25 x -960085-35 x -685775-125 x -192017-175 x -137155-875 x -27431


How do I find the factor combinations of the number 24,002,125?

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 24,002,125, 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 24,002,125
-1 -24,002,125

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 24,002,125.

Example:
1 x 24,002,125 = 24,002,125
and
-1 x -24,002,125 = 24,002,125
Notice both answers equal 24,002,125

With that explanation out of the way, let's continue. Next, we take the number 24,002,125 and divide it by 2:

24,002,125 ÷ 2 = 12,001,062.5

If the quotient is a whole number, then 2 and 12,001,062.5 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 24,002,125
-1 -24,002,125

Now, we try dividing 24,002,125 by 3:

24,002,125 ÷ 3 = 8,000,708.3333

If the quotient is a whole number, then 3 and 8,000,708.3333 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 24,002,125
-1 -24,002,125

Let's try dividing by 4:

24,002,125 ÷ 4 = 6,000,531.25

If the quotient is a whole number, then 4 and 6,000,531.25 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 24,002,125
-1 24,002,125
Keep dividing by the next highest number until you cannot divide anymore.

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

157253512517587527,431137,155192,017685,775960,0853,428,8754,800,42524,002,125
-1-5-7-25-35-125-175-875-27,431-137,155-192,017-685,775-960,085-3,428,875-4,800,425-24,002,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,002,125:


Ask a Question