Q: What are the factor combinations of the number 200,600,015?

 A:
Positive:   1 x 2006000155 x 401200037 x 2865714511 x 1823636535 x 573142955 x 364727377 x 2605195385 x 521039
Negative: -1 x -200600015-5 x -40120003-7 x -28657145-11 x -18236365-35 x -5731429-55 x -3647273-77 x -2605195-385 x -521039


How do I find the factor combinations of the number 200,600,015?

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 200,600,015, 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.

1 200,600,015
-1 -200,600,015

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 200,600,015.

Example:
1 x 200,600,015 = 200,600,015
and
-1 x -200,600,015 = 200,600,015
Notice both answers equal 200,600,015

With that explanation out of the way, let's continue. Next, we take the number 200,600,015 and divide it by 2:

200,600,015 ÷ 2 = 100,300,007.5

If the quotient is a whole number, then 2 and 100,300,007.5 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:

1 200,600,015
-1 -200,600,015

Now, we try dividing 200,600,015 by 3:

200,600,015 ÷ 3 = 66,866,671.6667

If the quotient is a whole number, then 3 and 66,866,671.6667 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:

1 200,600,015
-1 -200,600,015

Let's try dividing by 4:

200,600,015 ÷ 4 = 50,150,003.75

If the quotient is a whole number, then 4 and 50,150,003.75 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:

1 200,600,015
-1 200,600,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385521,0392,605,1953,647,2735,731,42918,236,36528,657,14540,120,003200,600,015
-1-5-7-11-35-55-77-385-521,039-2,605,195-3,647,273-5,731,429-18,236,365-28,657,145-40,120,003-200,600,015

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