Q: What are the factor combinations of the number 32,494,297?

 A:
Positive:   1 x 3249429711 x 295402729 x 1120493319 x 101863
Negative: -1 x -32494297-11 x -2954027-29 x -1120493-319 x -101863


How do I find the factor combinations of the number 32,494,297?

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 32,494,297, 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 32,494,297
-1 -32,494,297

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 32,494,297.

Example:
1 x 32,494,297 = 32,494,297
and
-1 x -32,494,297 = 32,494,297
Notice both answers equal 32,494,297

With that explanation out of the way, let's continue. Next, we take the number 32,494,297 and divide it by 2:

32,494,297 ÷ 2 = 16,247,148.5

If the quotient is a whole number, then 2 and 16,247,148.5 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 32,494,297
-1 -32,494,297

Now, we try dividing 32,494,297 by 3:

32,494,297 ÷ 3 = 10,831,432.3333

If the quotient is a whole number, then 3 and 10,831,432.3333 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 32,494,297
-1 -32,494,297

Let's try dividing by 4:

32,494,297 ÷ 4 = 8,123,574.25

If the quotient is a whole number, then 4 and 8,123,574.25 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 32,494,297
-1 32,494,297
Keep dividing by the next highest number until you cannot divide anymore.

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

11129319101,8631,120,4932,954,02732,494,297
-1-11-29-319-101,863-1,120,493-2,954,027-32,494,297

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 32,494,297:


Ask a Question