Q: What are the factor combinations of the number 728,007,515?

 A:
Positive:   1 x 7280075155 x 14560150319 x 3831618579 x 921528595 x 7663237395 x 18430571501 x 4850157505 x 97003
Negative: -1 x -728007515-5 x -145601503-19 x -38316185-79 x -9215285-95 x -7663237-395 x -1843057-1501 x -485015-7505 x -97003


How do I find the factor combinations of the number 728,007,515?

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 728,007,515, 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.

1 728,007,515
-1 -728,007,515

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 728,007,515.

Example:
1 x 728,007,515 = 728,007,515
and
-1 x -728,007,515 = 728,007,515
Notice both answers equal 728,007,515

With that explanation out of the way, let's continue. Next, we take the number 728,007,515 and divide it by 2:

728,007,515 ÷ 2 = 364,003,757.5

If the quotient is a whole number, then 2 and 364,003,757.5 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:

1 728,007,515
-1 -728,007,515

Now, we try dividing 728,007,515 by 3:

728,007,515 ÷ 3 = 242,669,171.6667

If the quotient is a whole number, then 3 and 242,669,171.6667 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:

1 728,007,515
-1 -728,007,515

Let's try dividing by 4:

728,007,515 ÷ 4 = 182,001,878.75

If the quotient is a whole number, then 4 and 182,001,878.75 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:

1 728,007,515
-1 728,007,515
Keep dividing by the next highest number until you cannot divide anymore.

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

151979953951,5017,50597,003485,0151,843,0577,663,2379,215,28538,316,185145,601,503728,007,515
-1-5-19-79-95-395-1,501-7,505-97,003-485,015-1,843,057-7,663,237-9,215,285-38,316,185-145,601,503-728,007,515

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 728,007,515:


Ask a Question