Q: What are the factor combinations of the number 3,007,165?

 A:
Positive:   1 x 30071655 x 6014337 x 42959535 x 85919151 x 19915569 x 5285755 x 39831057 x 2845
Negative: -1 x -3007165-5 x -601433-7 x -429595-35 x -85919-151 x -19915-569 x -5285-755 x -3983-1057 x -2845


How do I find the factor combinations of the number 3,007,165?

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 3,007,165, 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 3,007,165
-1 -3,007,165

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 3,007,165.

Example:
1 x 3,007,165 = 3,007,165
and
-1 x -3,007,165 = 3,007,165
Notice both answers equal 3,007,165

With that explanation out of the way, let's continue. Next, we take the number 3,007,165 and divide it by 2:

3,007,165 ÷ 2 = 1,503,582.5

If the quotient is a whole number, then 2 and 1,503,582.5 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 3,007,165
-1 -3,007,165

Now, we try dividing 3,007,165 by 3:

3,007,165 ÷ 3 = 1,002,388.3333

If the quotient is a whole number, then 3 and 1,002,388.3333 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 3,007,165
-1 -3,007,165

Let's try dividing by 4:

3,007,165 ÷ 4 = 751,791.25

If the quotient is a whole number, then 4 and 751,791.25 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 3,007,165
-1 3,007,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157351515697551,0572,8453,9835,28519,91585,919429,595601,4333,007,165
-1-5-7-35-151-569-755-1,057-2,845-3,983-5,285-19,915-85,919-429,595-601,433-3,007,165

More Examples

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