Q: What are the factor combinations of the number 342,445,367?

 A:
Positive:   1 x 34244536711 x 3113139723 x 14888929121 x 2830127253 x 13535392783 x 123049
Negative: -1 x -342445367-11 x -31131397-23 x -14888929-121 x -2830127-253 x -1353539-2783 x -123049


How do I find the factor combinations of the number 342,445,367?

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 342,445,367, 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.

1 342,445,367
-1 -342,445,367

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 342,445,367.

Example:
1 x 342,445,367 = 342,445,367
and
-1 x -342,445,367 = 342,445,367
Notice both answers equal 342,445,367

With that explanation out of the way, let's continue. Next, we take the number 342,445,367 and divide it by 2:

342,445,367 ÷ 2 = 171,222,683.5

If the quotient is a whole number, then 2 and 171,222,683.5 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:

1 342,445,367
-1 -342,445,367

Now, we try dividing 342,445,367 by 3:

342,445,367 ÷ 3 = 114,148,455.6667

If the quotient is a whole number, then 3 and 114,148,455.6667 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:

1 342,445,367
-1 -342,445,367

Let's try dividing by 4:

342,445,367 ÷ 4 = 85,611,341.75

If the quotient is a whole number, then 4 and 85,611,341.75 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:

1 342,445,367
-1 342,445,367
Keep dividing by the next highest number until you cannot divide anymore.

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

111231212532,783123,0491,353,5392,830,12714,888,92931,131,397342,445,367
-1-11-23-121-253-2,783-123,049-1,353,539-2,830,127-14,888,929-31,131,397-342,445,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 342,445,367:


Ask a Question