Q: What are the factor combinations of the number 200,501,245?

 A:
Positive:   1 x 2005012455 x 401002497 x 2864303535 x 5728607139 x 1442455695 x 288491973 x 2060654865 x 41213
Negative: -1 x -200501245-5 x -40100249-7 x -28643035-35 x -5728607-139 x -1442455-695 x -288491-973 x -206065-4865 x -41213


How do I find the factor combinations of the number 200,501,245?

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 200,501,245, 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.

1 200,501,245
-1 -200,501,245

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 200,501,245.

Example:
1 x 200,501,245 = 200,501,245
and
-1 x -200,501,245 = 200,501,245
Notice both answers equal 200,501,245

With that explanation out of the way, let's continue. Next, we take the number 200,501,245 and divide it by 2:

200,501,245 ÷ 2 = 100,250,622.5

If the quotient is a whole number, then 2 and 100,250,622.5 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:

1 200,501,245
-1 -200,501,245

Now, we try dividing 200,501,245 by 3:

200,501,245 ÷ 3 = 66,833,748.3333

If the quotient is a whole number, then 3 and 66,833,748.3333 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:

1 200,501,245
-1 -200,501,245

Let's try dividing by 4:

200,501,245 ÷ 4 = 50,125,311.25

If the quotient is a whole number, then 4 and 50,125,311.25 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:

1 200,501,245
-1 200,501,245
Keep dividing by the next highest number until you cannot divide anymore.

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

157351396959734,86541,213206,065288,4911,442,4555,728,60728,643,03540,100,249200,501,245
-1-5-7-35-139-695-973-4,865-41,213-206,065-288,491-1,442,455-5,728,607-28,643,035-40,100,249-200,501,245

More Examples

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