Q: What are the factor combinations of the number 241,330,397?

 A:
Positive:   1 x 2413303977 x 3447577111 x 2193912777 x 3134161673 x 3585894657 x 518214711 x 512277403 x 32599
Negative: -1 x -241330397-7 x -34475771-11 x -21939127-77 x -3134161-673 x -358589-4657 x -51821-4711 x -51227-7403 x -32599


How do I find the factor combinations of the number 241,330,397?

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 241,330,397, 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.

1 241,330,397
-1 -241,330,397

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 241,330,397.

Example:
1 x 241,330,397 = 241,330,397
and
-1 x -241,330,397 = 241,330,397
Notice both answers equal 241,330,397

With that explanation out of the way, let's continue. Next, we take the number 241,330,397 and divide it by 2:

241,330,397 ÷ 2 = 120,665,198.5

If the quotient is a whole number, then 2 and 120,665,198.5 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:

1 241,330,397
-1 -241,330,397

Now, we try dividing 241,330,397 by 3:

241,330,397 ÷ 3 = 80,443,465.6667

If the quotient is a whole number, then 3 and 80,443,465.6667 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:

1 241,330,397
-1 -241,330,397

Let's try dividing by 4:

241,330,397 ÷ 4 = 60,332,599.25

If the quotient is a whole number, then 4 and 60,332,599.25 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:

1 241,330,397
-1 241,330,397
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776734,6574,7117,40332,59951,22751,821358,5893,134,16121,939,12734,475,771241,330,397
-1-7-11-77-673-4,657-4,711-7,403-32,599-51,227-51,821-358,589-3,134,161-21,939,127-34,475,771-241,330,397

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 241,330,397:


Ask a Question