Q: What are the factor combinations of the number 200,722,427?

 A:
Positive:   1 x 20072242729 x 692146331 x 6474917899 x 223273
Negative: -1 x -200722427-29 x -6921463-31 x -6474917-899 x -223273


How do I find the factor combinations of the number 200,722,427?

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 200,722,427, 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.

1 200,722,427
-1 -200,722,427

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 200,722,427.

Example:
1 x 200,722,427 = 200,722,427
and
-1 x -200,722,427 = 200,722,427
Notice both answers equal 200,722,427

With that explanation out of the way, let's continue. Next, we take the number 200,722,427 and divide it by 2:

200,722,427 ÷ 2 = 100,361,213.5

If the quotient is a whole number, then 2 and 100,361,213.5 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:

1 200,722,427
-1 -200,722,427

Now, we try dividing 200,722,427 by 3:

200,722,427 ÷ 3 = 66,907,475.6667

If the quotient is a whole number, then 3 and 66,907,475.6667 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:

1 200,722,427
-1 -200,722,427

Let's try dividing by 4:

200,722,427 ÷ 4 = 50,180,606.75

If the quotient is a whole number, then 4 and 50,180,606.75 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:

1 200,722,427
-1 200,722,427
Keep dividing by the next highest number until you cannot divide anymore.

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

12931899223,2736,474,9176,921,463200,722,427
-1-29-31-899-223,273-6,474,917-6,921,463-200,722,427

More Examples

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