Q: What are the factor combinations of the number 3,342,485?

 A:
Positive:   1 x 33424855 x 668497109 x 30665545 x 6133
Negative: -1 x -3342485-5 x -668497-109 x -30665-545 x -6133


How do I find the factor combinations of the number 3,342,485?

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 3,342,485, 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 3,342,485
-1 -3,342,485

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 3,342,485.

Example:
1 x 3,342,485 = 3,342,485
and
-1 x -3,342,485 = 3,342,485
Notice both answers equal 3,342,485

With that explanation out of the way, let's continue. Next, we take the number 3,342,485 and divide it by 2:

3,342,485 ÷ 2 = 1,671,242.5

If the quotient is a whole number, then 2 and 1,671,242.5 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 3,342,485
-1 -3,342,485

Now, we try dividing 3,342,485 by 3:

3,342,485 ÷ 3 = 1,114,161.6667

If the quotient is a whole number, then 3 and 1,114,161.6667 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 3,342,485
-1 -3,342,485

Let's try dividing by 4:

3,342,485 ÷ 4 = 835,621.25

If the quotient is a whole number, then 4 and 835,621.25 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 3,342,485
-1 3,342,485
Keep dividing by the next highest number until you cannot divide anymore.

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

151095456,13330,665668,4973,342,485
-1-5-109-545-6,133-30,665-668,497-3,342,485

More Examples

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