Q: What are the factor combinations of the number 3,433,397?

 A:
Positive:   1 x 343339711 x 31212729 x 11839347 x 73051229 x 14993319 x 10763517 x 66411363 x 2519
Negative: -1 x -3433397-11 x -312127-29 x -118393-47 x -73051-229 x -14993-319 x -10763-517 x -6641-1363 x -2519


How do I find the factor combinations of the number 3,433,397?

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 3,433,397, 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 3,433,397
-1 -3,433,397

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 3,433,397.

Example:
1 x 3,433,397 = 3,433,397
and
-1 x -3,433,397 = 3,433,397
Notice both answers equal 3,433,397

With that explanation out of the way, let's continue. Next, we take the number 3,433,397 and divide it by 2:

3,433,397 ÷ 2 = 1,716,698.5

If the quotient is a whole number, then 2 and 1,716,698.5 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 3,433,397
-1 -3,433,397

Now, we try dividing 3,433,397 by 3:

3,433,397 ÷ 3 = 1,144,465.6667

If the quotient is a whole number, then 3 and 1,144,465.6667 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 3,433,397
-1 -3,433,397

Let's try dividing by 4:

3,433,397 ÷ 4 = 858,349.25

If the quotient is a whole number, then 4 and 858,349.25 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 3,433,397
-1 3,433,397
Keep dividing by the next highest number until you cannot divide anymore.

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

11129472293195171,3632,5196,64110,76314,99373,051118,393312,1273,433,397
-1-11-29-47-229-319-517-1,363-2,519-6,641-10,763-14,993-73,051-118,393-312,127-3,433,397

More Examples

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