Q: What are the factor combinations of the number 24,308,317?

 A:
Positive:   1 x 2430831711 x 220984717 x 142990161 x 398497187 x 129991671 x 362271037 x 234412131 x 11407
Negative: -1 x -24308317-11 x -2209847-17 x -1429901-61 x -398497-187 x -129991-671 x -36227-1037 x -23441-2131 x -11407


How do I find the factor combinations of the number 24,308,317?

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 24,308,317, 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 24,308,317
-1 -24,308,317

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 24,308,317.

Example:
1 x 24,308,317 = 24,308,317
and
-1 x -24,308,317 = 24,308,317
Notice both answers equal 24,308,317

With that explanation out of the way, let's continue. Next, we take the number 24,308,317 and divide it by 2:

24,308,317 ÷ 2 = 12,154,158.5

If the quotient is a whole number, then 2 and 12,154,158.5 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 24,308,317
-1 -24,308,317

Now, we try dividing 24,308,317 by 3:

24,308,317 ÷ 3 = 8,102,772.3333

If the quotient is a whole number, then 3 and 8,102,772.3333 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 24,308,317
-1 -24,308,317

Let's try dividing by 4:

24,308,317 ÷ 4 = 6,077,079.25

If the quotient is a whole number, then 4 and 6,077,079.25 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 24,308,317
-1 24,308,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11117611876711,0372,13111,40723,44136,227129,991398,4971,429,9012,209,84724,308,317
-1-11-17-61-187-671-1,037-2,131-11,407-23,441-36,227-129,991-398,497-1,429,901-2,209,847-24,308,317

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,308,317:


Ask a Question