Q: What are the factor combinations of the number 344,103,331?

 A:
Positive:   1 x 34410333111 x 3128212113 x 26469487143 x 2406317419 x 8212494609 x 746595447 x 631735743 x 59917
Negative: -1 x -344103331-11 x -31282121-13 x -26469487-143 x -2406317-419 x -821249-4609 x -74659-5447 x -63173-5743 x -59917


How do I find the factor combinations of the number 344,103,331?

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 344,103,331, 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.

1 344,103,331
-1 -344,103,331

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 344,103,331.

Example:
1 x 344,103,331 = 344,103,331
and
-1 x -344,103,331 = 344,103,331
Notice both answers equal 344,103,331

With that explanation out of the way, let's continue. Next, we take the number 344,103,331 and divide it by 2:

344,103,331 ÷ 2 = 172,051,665.5

If the quotient is a whole number, then 2 and 172,051,665.5 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:

1 344,103,331
-1 -344,103,331

Now, we try dividing 344,103,331 by 3:

344,103,331 ÷ 3 = 114,701,110.3333

If the quotient is a whole number, then 3 and 114,701,110.3333 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:

1 344,103,331
-1 -344,103,331

Let's try dividing by 4:

344,103,331 ÷ 4 = 86,025,832.75

If the quotient is a whole number, then 4 and 86,025,832.75 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:

1 344,103,331
-1 344,103,331
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434194,6095,4475,74359,91763,17374,659821,2492,406,31726,469,48731,282,121344,103,331
-1-11-13-143-419-4,609-5,447-5,743-59,917-63,173-74,659-821,249-2,406,317-26,469,487-31,282,121-344,103,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 344,103,331:


Ask a Question