Q: What are the factor combinations of the number 20,080,615?

 A:
Positive:   1 x 200806155 x 401612329 x 69243579 x 254185145 x 138487395 x 508371753 x 114552291 x 8765
Negative: -1 x -20080615-5 x -4016123-29 x -692435-79 x -254185-145 x -138487-395 x -50837-1753 x -11455-2291 x -8765


How do I find the factor combinations of the number 20,080,615?

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 20,080,615, 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 20,080,615
-1 -20,080,615

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 20,080,615.

Example:
1 x 20,080,615 = 20,080,615
and
-1 x -20,080,615 = 20,080,615
Notice both answers equal 20,080,615

With that explanation out of the way, let's continue. Next, we take the number 20,080,615 and divide it by 2:

20,080,615 ÷ 2 = 10,040,307.5

If the quotient is a whole number, then 2 and 10,040,307.5 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 20,080,615
-1 -20,080,615

Now, we try dividing 20,080,615 by 3:

20,080,615 ÷ 3 = 6,693,538.3333

If the quotient is a whole number, then 3 and 6,693,538.3333 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 20,080,615
-1 -20,080,615

Let's try dividing by 4:

20,080,615 ÷ 4 = 5,020,153.75

If the quotient is a whole number, then 4 and 5,020,153.75 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 20,080,615
-1 20,080,615
Keep dividing by the next highest number until you cannot divide anymore.

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

1529791453951,7532,2918,76511,45550,837138,487254,185692,4354,016,12320,080,615
-1-5-29-79-145-395-1,753-2,291-8,765-11,455-50,837-138,487-254,185-692,435-4,016,123-20,080,615

More Examples

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