Q: What are the factor combinations of the number 20,343,595?

 A:
Positive:   1 x 203435955 x 406871931 x 656245155 x 131249
Negative: -1 x -20343595-5 x -4068719-31 x -656245-155 x -131249


How do I find the factor combinations of the number 20,343,595?

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 20,343,595, 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 20,343,595
-1 -20,343,595

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 20,343,595.

Example:
1 x 20,343,595 = 20,343,595
and
-1 x -20,343,595 = 20,343,595
Notice both answers equal 20,343,595

With that explanation out of the way, let's continue. Next, we take the number 20,343,595 and divide it by 2:

20,343,595 ÷ 2 = 10,171,797.5

If the quotient is a whole number, then 2 and 10,171,797.5 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 20,343,595
-1 -20,343,595

Now, we try dividing 20,343,595 by 3:

20,343,595 ÷ 3 = 6,781,198.3333

If the quotient is a whole number, then 3 and 6,781,198.3333 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 20,343,595
-1 -20,343,595

Let's try dividing by 4:

20,343,595 ÷ 4 = 5,085,898.75

If the quotient is a whole number, then 4 and 5,085,898.75 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 20,343,595
-1 20,343,595
Keep dividing by the next highest number until you cannot divide anymore.

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

1531155131,249656,2454,068,71920,343,595
-1-5-31-155-131,249-656,245-4,068,719-20,343,595

More Examples

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