Q: What are the factor combinations of the number 3,297,329?

 A:
Positive:   1 x 32973297 x 47104729 x 11370137 x 89117203 x 16243259 x 12731439 x 75111073 x 3073
Negative: -1 x -3297329-7 x -471047-29 x -113701-37 x -89117-203 x -16243-259 x -12731-439 x -7511-1073 x -3073


How do I find the factor combinations of the number 3,297,329?

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 3,297,329, 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 3,297,329
-1 -3,297,329

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 3,297,329.

Example:
1 x 3,297,329 = 3,297,329
and
-1 x -3,297,329 = 3,297,329
Notice both answers equal 3,297,329

With that explanation out of the way, let's continue. Next, we take the number 3,297,329 and divide it by 2:

3,297,329 ÷ 2 = 1,648,664.5

If the quotient is a whole number, then 2 and 1,648,664.5 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 3,297,329
-1 -3,297,329

Now, we try dividing 3,297,329 by 3:

3,297,329 ÷ 3 = 1,099,109.6667

If the quotient is a whole number, then 3 and 1,099,109.6667 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 3,297,329
-1 -3,297,329

Let's try dividing by 4:

3,297,329 ÷ 4 = 824,332.25

If the quotient is a whole number, then 4 and 824,332.25 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 3,297,329
-1 3,297,329
Keep dividing by the next highest number until you cannot divide anymore.

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

1729372032594391,0733,0737,51112,73116,24389,117113,701471,0473,297,329
-1-7-29-37-203-259-439-1,073-3,073-7,511-12,731-16,243-89,117-113,701-471,047-3,297,329

More Examples

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