Q: What are the factor combinations of the number 24,442,445?

 A:
Positive:   1 x 244424455 x 488848923 x 1062715115 x 212543529 x 462052645 x 9241
Negative: -1 x -24442445-5 x -4888489-23 x -1062715-115 x -212543-529 x -46205-2645 x -9241


How do I find the factor combinations of the number 24,442,445?

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 24,442,445, 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 24,442,445
-1 -24,442,445

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 24,442,445.

Example:
1 x 24,442,445 = 24,442,445
and
-1 x -24,442,445 = 24,442,445
Notice both answers equal 24,442,445

With that explanation out of the way, let's continue. Next, we take the number 24,442,445 and divide it by 2:

24,442,445 ÷ 2 = 12,221,222.5

If the quotient is a whole number, then 2 and 12,221,222.5 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 24,442,445
-1 -24,442,445

Now, we try dividing 24,442,445 by 3:

24,442,445 ÷ 3 = 8,147,481.6667

If the quotient is a whole number, then 3 and 8,147,481.6667 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 24,442,445
-1 -24,442,445

Let's try dividing by 4:

24,442,445 ÷ 4 = 6,110,611.25

If the quotient is a whole number, then 4 and 6,110,611.25 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 24,442,445
-1 24,442,445
Keep dividing by the next highest number until you cannot divide anymore.

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

15231155292,6459,24146,205212,5431,062,7154,888,48924,442,445
-1-5-23-115-529-2,645-9,241-46,205-212,543-1,062,715-4,888,489-24,442,445

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 24,442,445:


Ask a Question