Q: What are the factor combinations of the number 3,320,345?

 A:
Positive:   1 x 33203455 x 6640697 x 47433519 x 17475535 x 9486795 x 34951133 x 24965665 x 4993
Negative: -1 x -3320345-5 x -664069-7 x -474335-19 x -174755-35 x -94867-95 x -34951-133 x -24965-665 x -4993


How do I find the factor combinations of the number 3,320,345?

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 3,320,345, 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 3,320,345
-1 -3,320,345

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 3,320,345.

Example:
1 x 3,320,345 = 3,320,345
and
-1 x -3,320,345 = 3,320,345
Notice both answers equal 3,320,345

With that explanation out of the way, let's continue. Next, we take the number 3,320,345 and divide it by 2:

3,320,345 ÷ 2 = 1,660,172.5

If the quotient is a whole number, then 2 and 1,660,172.5 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 3,320,345
-1 -3,320,345

Now, we try dividing 3,320,345 by 3:

3,320,345 ÷ 3 = 1,106,781.6667

If the quotient is a whole number, then 3 and 1,106,781.6667 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 3,320,345
-1 -3,320,345

Let's try dividing by 4:

3,320,345 ÷ 4 = 830,086.25

If the quotient is a whole number, then 4 and 830,086.25 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 3,320,345
-1 3,320,345
Keep dividing by the next highest number until you cannot divide anymore.

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

1571935951336654,99324,96534,95194,867174,755474,335664,0693,320,345
-1-5-7-19-35-95-133-665-4,993-24,965-34,951-94,867-174,755-474,335-664,069-3,320,345

More Examples

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