Q: What are the factor combinations of the number 20,314,147?

 A:
Positive:   1 x 203141477 x 290202137 x 54903141 x 495467259 x 78433287 x 707811517 x 133911913 x 10619
Negative: -1 x -20314147-7 x -2902021-37 x -549031-41 x -495467-259 x -78433-287 x -70781-1517 x -13391-1913 x -10619


How do I find the factor combinations of the number 20,314,147?

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 20,314,147, 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 20,314,147
-1 -20,314,147

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 20,314,147.

Example:
1 x 20,314,147 = 20,314,147
and
-1 x -20,314,147 = 20,314,147
Notice both answers equal 20,314,147

With that explanation out of the way, let's continue. Next, we take the number 20,314,147 and divide it by 2:

20,314,147 ÷ 2 = 10,157,073.5

If the quotient is a whole number, then 2 and 10,157,073.5 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 20,314,147
-1 -20,314,147

Now, we try dividing 20,314,147 by 3:

20,314,147 ÷ 3 = 6,771,382.3333

If the quotient is a whole number, then 3 and 6,771,382.3333 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 20,314,147
-1 -20,314,147

Let's try dividing by 4:

20,314,147 ÷ 4 = 5,078,536.75

If the quotient is a whole number, then 4 and 5,078,536.75 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 20,314,147
-1 20,314,147
Keep dividing by the next highest number until you cannot divide anymore.

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

1737412592871,5171,91310,61913,39170,78178,433495,467549,0312,902,02120,314,147
-1-7-37-41-259-287-1,517-1,913-10,619-13,391-70,781-78,433-495,467-549,031-2,902,021-20,314,147

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