Q: What are the factor combinations of the number 24,398,227?

 A:
Positive:   1 x 243982277 x 348546149 x 49792371 x 343637497 x 490913479 x 7013
Negative: -1 x -24398227-7 x -3485461-49 x -497923-71 x -343637-497 x -49091-3479 x -7013


How do I find the factor combinations of the number 24,398,227?

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 24,398,227, 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 24,398,227
-1 -24,398,227

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 24,398,227.

Example:
1 x 24,398,227 = 24,398,227
and
-1 x -24,398,227 = 24,398,227
Notice both answers equal 24,398,227

With that explanation out of the way, let's continue. Next, we take the number 24,398,227 and divide it by 2:

24,398,227 ÷ 2 = 12,199,113.5

If the quotient is a whole number, then 2 and 12,199,113.5 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 24,398,227
-1 -24,398,227

Now, we try dividing 24,398,227 by 3:

24,398,227 ÷ 3 = 8,132,742.3333

If the quotient is a whole number, then 3 and 8,132,742.3333 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 24,398,227
-1 -24,398,227

Let's try dividing by 4:

24,398,227 ÷ 4 = 6,099,556.75

If the quotient is a whole number, then 4 and 6,099,556.75 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 24,398,227
-1 24,398,227
Keep dividing by the next highest number until you cannot divide anymore.

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

1749714973,4797,01349,091343,637497,9233,485,46124,398,227
-1-7-49-71-497-3,479-7,013-49,091-343,637-497,923-3,485,461-24,398,227

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,398,227:


Ask a Question