Q: What are the factor combinations of the number 342,749,597?

 A:
Positive:   1 x 34274959717 x 2016174197 x 3533501347 x 987751599 x 5722031649 x 2078535899 x 5810310183 x 33659
Negative: -1 x -342749597-17 x -20161741-97 x -3533501-347 x -987751-599 x -572203-1649 x -207853-5899 x -58103-10183 x -33659


How do I find the factor combinations of the number 342,749,597?

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 342,749,597, 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.

1 342,749,597
-1 -342,749,597

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 342,749,597.

Example:
1 x 342,749,597 = 342,749,597
and
-1 x -342,749,597 = 342,749,597
Notice both answers equal 342,749,597

With that explanation out of the way, let's continue. Next, we take the number 342,749,597 and divide it by 2:

342,749,597 ÷ 2 = 171,374,798.5

If the quotient is a whole number, then 2 and 171,374,798.5 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:

1 342,749,597
-1 -342,749,597

Now, we try dividing 342,749,597 by 3:

342,749,597 ÷ 3 = 114,249,865.6667

If the quotient is a whole number, then 3 and 114,249,865.6667 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:

1 342,749,597
-1 -342,749,597

Let's try dividing by 4:

342,749,597 ÷ 4 = 85,687,399.25

If the quotient is a whole number, then 4 and 85,687,399.25 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:

1 342,749,597
-1 342,749,597
Keep dividing by the next highest number until you cannot divide anymore.

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

117973475991,6495,89910,18333,65958,103207,853572,203987,7513,533,50120,161,741342,749,597
-1-17-97-347-599-1,649-5,899-10,183-33,659-58,103-207,853-572,203-987,751-3,533,501-20,161,741-342,749,597

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 342,749,597:


Ask a Question