Q: What are the factor combinations of the number 34,331,215?

 A:
Positive:   1 x 343312155 x 686624329 x 118383559 x 581885145 x 236767295 x 1163771711 x 200654013 x 8555
Negative: -1 x -34331215-5 x -6866243-29 x -1183835-59 x -581885-145 x -236767-295 x -116377-1711 x -20065-4013 x -8555


How do I find the factor combinations of the number 34,331,215?

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 34,331,215, 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 34,331,215
-1 -34,331,215

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 34,331,215.

Example:
1 x 34,331,215 = 34,331,215
and
-1 x -34,331,215 = 34,331,215
Notice both answers equal 34,331,215

With that explanation out of the way, let's continue. Next, we take the number 34,331,215 and divide it by 2:

34,331,215 ÷ 2 = 17,165,607.5

If the quotient is a whole number, then 2 and 17,165,607.5 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 34,331,215
-1 -34,331,215

Now, we try dividing 34,331,215 by 3:

34,331,215 ÷ 3 = 11,443,738.3333

If the quotient is a whole number, then 3 and 11,443,738.3333 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 34,331,215
-1 -34,331,215

Let's try dividing by 4:

34,331,215 ÷ 4 = 8,582,803.75

If the quotient is a whole number, then 4 and 8,582,803.75 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 34,331,215
-1 34,331,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1529591452951,7114,0138,55520,065116,377236,767581,8851,183,8356,866,24334,331,215
-1-5-29-59-145-295-1,711-4,013-8,555-20,065-116,377-236,767-581,885-1,183,835-6,866,243-34,331,215

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 34,331,215:


Ask a Question