Q: What are the factor combinations of the number 1,515,635?

 A:
Positive:   1 x 15156355 x 30312711 x 13778517 x 8915555 x 2755785 x 17831187 x 8105935 x 1621
Negative: -1 x -1515635-5 x -303127-11 x -137785-17 x -89155-55 x -27557-85 x -17831-187 x -8105-935 x -1621


How do I find the factor combinations of the number 1,515,635?

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 1,515,635, 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 1,515,635
-1 -1,515,635

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 1,515,635.

Example:
1 x 1,515,635 = 1,515,635
and
-1 x -1,515,635 = 1,515,635
Notice both answers equal 1,515,635

With that explanation out of the way, let's continue. Next, we take the number 1,515,635 and divide it by 2:

1,515,635 ÷ 2 = 757,817.5

If the quotient is a whole number, then 2 and 757,817.5 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 1,515,635
-1 -1,515,635

Now, we try dividing 1,515,635 by 3:

1,515,635 ÷ 3 = 505,211.6667

If the quotient is a whole number, then 3 and 505,211.6667 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 1,515,635
-1 -1,515,635

Let's try dividing by 4:

1,515,635 ÷ 4 = 378,908.75

If the quotient is a whole number, then 4 and 378,908.75 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 1,515,635
-1 1,515,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851879351,6218,10517,83127,55789,155137,785303,1271,515,635
-1-5-11-17-55-85-187-935-1,621-8,105-17,831-27,557-89,155-137,785-303,127-1,515,635

More Examples

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