Q: What are the factor combinations of the number 8,001,515?

 A:
Positive:   1 x 80015155 x 160030347 x 17024579 x 101285235 x 34049395 x 20257431 x 185652155 x 3713
Negative: -1 x -8001515-5 x -1600303-47 x -170245-79 x -101285-235 x -34049-395 x -20257-431 x -18565-2155 x -3713


How do I find the factor combinations of the number 8,001,515?

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 8,001,515, 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 8,001,515
-1 -8,001,515

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 8,001,515.

Example:
1 x 8,001,515 = 8,001,515
and
-1 x -8,001,515 = 8,001,515
Notice both answers equal 8,001,515

With that explanation out of the way, let's continue. Next, we take the number 8,001,515 and divide it by 2:

8,001,515 ÷ 2 = 4,000,757.5

If the quotient is a whole number, then 2 and 4,000,757.5 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 8,001,515
-1 -8,001,515

Now, we try dividing 8,001,515 by 3:

8,001,515 ÷ 3 = 2,667,171.6667

If the quotient is a whole number, then 3 and 2,667,171.6667 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 8,001,515
-1 -8,001,515

Let's try dividing by 4:

8,001,515 ÷ 4 = 2,000,378.75

If the quotient is a whole number, then 4 and 2,000,378.75 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 8,001,515
-1 8,001,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1547792353954312,1553,71318,56520,25734,049101,285170,2451,600,3038,001,515
-1-5-47-79-235-395-431-2,155-3,713-18,565-20,257-34,049-101,285-170,245-1,600,303-8,001,515

More Examples

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