Q: What are the factor combinations of the number 200,203,441?

 A:
Positive:   1 x 20020344117 x 1177667397 x 2063953167 x 1198823727 x 2753831649 x 1214092839 x 7051912359 x 16199
Negative: -1 x -200203441-17 x -11776673-97 x -2063953-167 x -1198823-727 x -275383-1649 x -121409-2839 x -70519-12359 x -16199


How do I find the factor combinations of the number 200,203,441?

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 200,203,441, 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.

1 200,203,441
-1 -200,203,441

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 200,203,441.

Example:
1 x 200,203,441 = 200,203,441
and
-1 x -200,203,441 = 200,203,441
Notice both answers equal 200,203,441

With that explanation out of the way, let's continue. Next, we take the number 200,203,441 and divide it by 2:

200,203,441 ÷ 2 = 100,101,720.5

If the quotient is a whole number, then 2 and 100,101,720.5 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:

1 200,203,441
-1 -200,203,441

Now, we try dividing 200,203,441 by 3:

200,203,441 ÷ 3 = 66,734,480.3333

If the quotient is a whole number, then 3 and 66,734,480.3333 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:

1 200,203,441
-1 -200,203,441

Let's try dividing by 4:

200,203,441 ÷ 4 = 50,050,860.25

If the quotient is a whole number, then 4 and 50,050,860.25 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:

1 200,203,441
-1 200,203,441
Keep dividing by the next highest number until you cannot divide anymore.

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

117971677271,6492,83912,35916,19970,519121,409275,3831,198,8232,063,95311,776,673200,203,441
-1-17-97-167-727-1,649-2,839-12,359-16,199-70,519-121,409-275,383-1,198,823-2,063,953-11,776,673-200,203,441

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