Q: What are the factor combinations of the number 20,613,515?

 A:
Positive:   1 x 206135155 x 412270313 x 158565565 x 317131307 x 671451033 x 199551535 x 134293991 x 5165
Negative: -1 x -20613515-5 x -4122703-13 x -1585655-65 x -317131-307 x -67145-1033 x -19955-1535 x -13429-3991 x -5165


How do I find the factor combinations of the number 20,613,515?

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 20,613,515, 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 20,613,515
-1 -20,613,515

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 20,613,515.

Example:
1 x 20,613,515 = 20,613,515
and
-1 x -20,613,515 = 20,613,515
Notice both answers equal 20,613,515

With that explanation out of the way, let's continue. Next, we take the number 20,613,515 and divide it by 2:

20,613,515 ÷ 2 = 10,306,757.5

If the quotient is a whole number, then 2 and 10,306,757.5 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 20,613,515
-1 -20,613,515

Now, we try dividing 20,613,515 by 3:

20,613,515 ÷ 3 = 6,871,171.6667

If the quotient is a whole number, then 3 and 6,871,171.6667 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 20,613,515
-1 -20,613,515

Let's try dividing by 4:

20,613,515 ÷ 4 = 5,153,378.75

If the quotient is a whole number, then 4 and 5,153,378.75 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 20,613,515
-1 20,613,515
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653071,0331,5353,9915,16513,42919,95567,145317,1311,585,6554,122,70320,613,515
-1-5-13-65-307-1,033-1,535-3,991-5,165-13,429-19,955-67,145-317,131-1,585,655-4,122,703-20,613,515

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