Q: What are the factor combinations of the number 3,004,145?

 A:
Positive:   1 x 30041455 x 60082923 x 130615115 x 26123151 x 19895173 x 17365755 x 3979865 x 3473
Negative: -1 x -3004145-5 x -600829-23 x -130615-115 x -26123-151 x -19895-173 x -17365-755 x -3979-865 x -3473


How do I find the factor combinations of the number 3,004,145?

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 3,004,145, 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 3,004,145
-1 -3,004,145

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 3,004,145.

Example:
1 x 3,004,145 = 3,004,145
and
-1 x -3,004,145 = 3,004,145
Notice both answers equal 3,004,145

With that explanation out of the way, let's continue. Next, we take the number 3,004,145 and divide it by 2:

3,004,145 ÷ 2 = 1,502,072.5

If the quotient is a whole number, then 2 and 1,502,072.5 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 3,004,145
-1 -3,004,145

Now, we try dividing 3,004,145 by 3:

3,004,145 ÷ 3 = 1,001,381.6667

If the quotient is a whole number, then 3 and 1,001,381.6667 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 3,004,145
-1 -3,004,145

Let's try dividing by 4:

3,004,145 ÷ 4 = 751,036.25

If the quotient is a whole number, then 4 and 751,036.25 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 3,004,145
-1 3,004,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151511737558653,4733,97917,36519,89526,123130,615600,8293,004,145
-1-5-23-115-151-173-755-865-3,473-3,979-17,365-19,895-26,123-130,615-600,829-3,004,145

More Examples

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