Q: What are the factor combinations of the number 16,242,359?

 A:
Positive:   1 x 162423597 x 232033719 x 85486197 x 167447133 x 122123679 x 239211259 x 129011843 x 8813
Negative: -1 x -16242359-7 x -2320337-19 x -854861-97 x -167447-133 x -122123-679 x -23921-1259 x -12901-1843 x -8813


How do I find the factor combinations of the number 16,242,359?

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 16,242,359, 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 16,242,359
-1 -16,242,359

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 16,242,359.

Example:
1 x 16,242,359 = 16,242,359
and
-1 x -16,242,359 = 16,242,359
Notice both answers equal 16,242,359

With that explanation out of the way, let's continue. Next, we take the number 16,242,359 and divide it by 2:

16,242,359 ÷ 2 = 8,121,179.5

If the quotient is a whole number, then 2 and 8,121,179.5 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 16,242,359
-1 -16,242,359

Now, we try dividing 16,242,359 by 3:

16,242,359 ÷ 3 = 5,414,119.6667

If the quotient is a whole number, then 3 and 5,414,119.6667 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 16,242,359
-1 -16,242,359

Let's try dividing by 4:

16,242,359 ÷ 4 = 4,060,589.75

If the quotient is a whole number, then 4 and 4,060,589.75 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 16,242,359
-1 16,242,359
Keep dividing by the next highest number until you cannot divide anymore.

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

1719971336791,2591,8438,81312,90123,921122,123167,447854,8612,320,33716,242,359
-1-7-19-97-133-679-1,259-1,843-8,813-12,901-23,921-122,123-167,447-854,861-2,320,337-16,242,359

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 16,242,359:


Ask a Question