Q: What are the factor combinations of the number 24,025,795?

 A:
Positive:   1 x 240257955 x 480515941 x 585995205 x 117199233 x 103115503 x 477651165 x 206232515 x 9553
Negative: -1 x -24025795-5 x -4805159-41 x -585995-205 x -117199-233 x -103115-503 x -47765-1165 x -20623-2515 x -9553


How do I find the factor combinations of the number 24,025,795?

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 24,025,795, 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 24,025,795
-1 -24,025,795

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 24,025,795.

Example:
1 x 24,025,795 = 24,025,795
and
-1 x -24,025,795 = 24,025,795
Notice both answers equal 24,025,795

With that explanation out of the way, let's continue. Next, we take the number 24,025,795 and divide it by 2:

24,025,795 ÷ 2 = 12,012,897.5

If the quotient is a whole number, then 2 and 12,012,897.5 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 24,025,795
-1 -24,025,795

Now, we try dividing 24,025,795 by 3:

24,025,795 ÷ 3 = 8,008,598.3333

If the quotient is a whole number, then 3 and 8,008,598.3333 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 24,025,795
-1 -24,025,795

Let's try dividing by 4:

24,025,795 ÷ 4 = 6,006,448.75

If the quotient is a whole number, then 4 and 6,006,448.75 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 24,025,795
-1 24,025,795
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052335031,1652,5159,55320,62347,765103,115117,199585,9954,805,15924,025,795
-1-5-41-205-233-503-1,165-2,515-9,553-20,623-47,765-103,115-117,199-585,995-4,805,159-24,025,795

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,025,795:


Ask a Question