Q: What are the factor combinations of the number 200,271,379?

 A:
Positive:   1 x 2002713797 x 2861019711 x 1820648949 x 408717177 x 2600927539 x 371561
Negative: -1 x -200271379-7 x -28610197-11 x -18206489-49 x -4087171-77 x -2600927-539 x -371561


How do I find the factor combinations of the number 200,271,379?

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 200,271,379, 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.

1 200,271,379
-1 -200,271,379

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 200,271,379.

Example:
1 x 200,271,379 = 200,271,379
and
-1 x -200,271,379 = 200,271,379
Notice both answers equal 200,271,379

With that explanation out of the way, let's continue. Next, we take the number 200,271,379 and divide it by 2:

200,271,379 ÷ 2 = 100,135,689.5

If the quotient is a whole number, then 2 and 100,135,689.5 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:

1 200,271,379
-1 -200,271,379

Now, we try dividing 200,271,379 by 3:

200,271,379 ÷ 3 = 66,757,126.3333

If the quotient is a whole number, then 3 and 66,757,126.3333 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:

1 200,271,379
-1 -200,271,379

Let's try dividing by 4:

200,271,379 ÷ 4 = 50,067,844.75

If the quotient is a whole number, then 4 and 50,067,844.75 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:

1 200,271,379
-1 200,271,379
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977539371,5612,600,9274,087,17118,206,48928,610,197200,271,379
-1-7-11-49-77-539-371,561-2,600,927-4,087,171-18,206,489-28,610,197-200,271,379

More Examples

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