Q: What are the factor combinations of the number 532,300,015?

 A:
Positive:   1 x 5323000155 x 10646000313 x 4094615565 x 8189231
Negative: -1 x -532300015-5 x -106460003-13 x -40946155-65 x -8189231


How do I find the factor combinations of the number 532,300,015?

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 532,300,015, 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.

1 532,300,015
-1 -532,300,015

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 532,300,015.

Example:
1 x 532,300,015 = 532,300,015
and
-1 x -532,300,015 = 532,300,015
Notice both answers equal 532,300,015

With that explanation out of the way, let's continue. Next, we take the number 532,300,015 and divide it by 2:

532,300,015 ÷ 2 = 266,150,007.5

If the quotient is a whole number, then 2 and 266,150,007.5 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:

1 532,300,015
-1 -532,300,015

Now, we try dividing 532,300,015 by 3:

532,300,015 ÷ 3 = 177,433,338.3333

If the quotient is a whole number, then 3 and 177,433,338.3333 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:

1 532,300,015
-1 -532,300,015

Let's try dividing by 4:

532,300,015 ÷ 4 = 133,075,003.75

If the quotient is a whole number, then 4 and 133,075,003.75 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:

1 532,300,015
-1 532,300,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1513658,189,23140,946,155106,460,003532,300,015
-1-5-13-65-8,189,231-40,946,155-106,460,003-532,300,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 532,300,015:


Ask a Question