Q: What are the factor combinations of the number 24,325,133?

 A:
Positive:   1 x 243251337 x 347501973 x 333221181 x 134393263 x 92491511 x 476031267 x 191991841 x 13213
Negative: -1 x -24325133-7 x -3475019-73 x -333221-181 x -134393-263 x -92491-511 x -47603-1267 x -19199-1841 x -13213


How do I find the factor combinations of the number 24,325,133?

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 24,325,133, 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 24,325,133
-1 -24,325,133

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 24,325,133.

Example:
1 x 24,325,133 = 24,325,133
and
-1 x -24,325,133 = 24,325,133
Notice both answers equal 24,325,133

With that explanation out of the way, let's continue. Next, we take the number 24,325,133 and divide it by 2:

24,325,133 ÷ 2 = 12,162,566.5

If the quotient is a whole number, then 2 and 12,162,566.5 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 24,325,133
-1 -24,325,133

Now, we try dividing 24,325,133 by 3:

24,325,133 ÷ 3 = 8,108,377.6667

If the quotient is a whole number, then 3 and 8,108,377.6667 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 24,325,133
-1 -24,325,133

Let's try dividing by 4:

24,325,133 ÷ 4 = 6,081,283.25

If the quotient is a whole number, then 4 and 6,081,283.25 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 24,325,133
-1 24,325,133
Keep dividing by the next highest number until you cannot divide anymore.

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

17731812635111,2671,84113,21319,19947,60392,491134,393333,2213,475,01924,325,133
-1-7-73-181-263-511-1,267-1,841-13,213-19,199-47,603-92,491-134,393-333,221-3,475,019-24,325,133

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,325,133:


Ask a Question