Q: What are the factor combinations of the number 3,015,047?

 A:
Positive:   1 x 30150477 x 43072123 x 13108961 x 49427161 x 18727307 x 9821427 x 70611403 x 2149
Negative: -1 x -3015047-7 x -430721-23 x -131089-61 x -49427-161 x -18727-307 x -9821-427 x -7061-1403 x -2149


How do I find the factor combinations of the number 3,015,047?

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 3,015,047, 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 3,015,047
-1 -3,015,047

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 3,015,047.

Example:
1 x 3,015,047 = 3,015,047
and
-1 x -3,015,047 = 3,015,047
Notice both answers equal 3,015,047

With that explanation out of the way, let's continue. Next, we take the number 3,015,047 and divide it by 2:

3,015,047 ÷ 2 = 1,507,523.5

If the quotient is a whole number, then 2 and 1,507,523.5 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 3,015,047
-1 -3,015,047

Now, we try dividing 3,015,047 by 3:

3,015,047 ÷ 3 = 1,005,015.6667

If the quotient is a whole number, then 3 and 1,005,015.6667 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 3,015,047
-1 -3,015,047

Let's try dividing by 4:

3,015,047 ÷ 4 = 753,761.75

If the quotient is a whole number, then 4 and 753,761.75 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 3,015,047
-1 3,015,047
Keep dividing by the next highest number until you cannot divide anymore.

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

1723611613074271,4032,1497,0619,82118,72749,427131,089430,7213,015,047
-1-7-23-61-161-307-427-1,403-2,149-7,061-9,821-18,727-49,427-131,089-430,721-3,015,047

More Examples

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