Q: What are the factor combinations of the number 32,467,015?

 A:
Positive:   1 x 324670155 x 64934037 x 463814535 x 927629
Negative: -1 x -32467015-5 x -6493403-7 x -4638145-35 x -927629


How do I find the factor combinations of the number 32,467,015?

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 32,467,015, 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 32,467,015
-1 -32,467,015

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 32,467,015.

Example:
1 x 32,467,015 = 32,467,015
and
-1 x -32,467,015 = 32,467,015
Notice both answers equal 32,467,015

With that explanation out of the way, let's continue. Next, we take the number 32,467,015 and divide it by 2:

32,467,015 ÷ 2 = 16,233,507.5

If the quotient is a whole number, then 2 and 16,233,507.5 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 32,467,015
-1 -32,467,015

Now, we try dividing 32,467,015 by 3:

32,467,015 ÷ 3 = 10,822,338.3333

If the quotient is a whole number, then 3 and 10,822,338.3333 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 32,467,015
-1 -32,467,015

Let's try dividing by 4:

32,467,015 ÷ 4 = 8,116,753.75

If the quotient is a whole number, then 4 and 8,116,753.75 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 32,467,015
-1 32,467,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735927,6294,638,1456,493,40332,467,015
-1-5-7-35-927,629-4,638,145-6,493,403-32,467,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,467,015:


Ask a Question