Q: What are the factor combinations of the number 8,014,015?

 A:
Positive:   1 x 80140155 x 160280337 x 216595185 x 43319
Negative: -1 x -8014015-5 x -1602803-37 x -216595-185 x -43319


How do I find the factor combinations of the number 8,014,015?

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 8,014,015, 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 8,014,015
-1 -8,014,015

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 8,014,015.

Example:
1 x 8,014,015 = 8,014,015
and
-1 x -8,014,015 = 8,014,015
Notice both answers equal 8,014,015

With that explanation out of the way, let's continue. Next, we take the number 8,014,015 and divide it by 2:

8,014,015 ÷ 2 = 4,007,007.5

If the quotient is a whole number, then 2 and 4,007,007.5 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 8,014,015
-1 -8,014,015

Now, we try dividing 8,014,015 by 3:

8,014,015 ÷ 3 = 2,671,338.3333

If the quotient is a whole number, then 3 and 2,671,338.3333 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 8,014,015
-1 -8,014,015

Let's try dividing by 4:

8,014,015 ÷ 4 = 2,003,503.75

If the quotient is a whole number, then 4 and 2,003,503.75 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 8,014,015
-1 8,014,015
Keep dividing by the next highest number until you cannot divide anymore.

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

153718543,319216,5951,602,8038,014,015
-1-5-37-185-43,319-216,595-1,602,803-8,014,015

More Examples

Here are some more numbers to try:

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