Q: What are the factor combinations of the number 200,202,301?

 A:
Positive:   1 x 20020230113 x 1540017737 x 5410873101 x 1982201169 x 1184629317 x 631553481 x 4162211313 x 1524773737 x 535734121 x 485816253 x 3201711729 x 17069
Negative: -1 x -200202301-13 x -15400177-37 x -5410873-101 x -1982201-169 x -1184629-317 x -631553-481 x -416221-1313 x -152477-3737 x -53573-4121 x -48581-6253 x -32017-11729 x -17069


How do I find the factor combinations of the number 200,202,301?

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 200,202,301, 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.

1 200,202,301
-1 -200,202,301

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 200,202,301.

Example:
1 x 200,202,301 = 200,202,301
and
-1 x -200,202,301 = 200,202,301
Notice both answers equal 200,202,301

With that explanation out of the way, let's continue. Next, we take the number 200,202,301 and divide it by 2:

200,202,301 ÷ 2 = 100,101,150.5

If the quotient is a whole number, then 2 and 100,101,150.5 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:

1 200,202,301
-1 -200,202,301

Now, we try dividing 200,202,301 by 3:

200,202,301 ÷ 3 = 66,734,100.3333

If the quotient is a whole number, then 3 and 66,734,100.3333 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:

1 200,202,301
-1 -200,202,301

Let's try dividing by 4:

200,202,301 ÷ 4 = 50,050,575.25

If the quotient is a whole number, then 4 and 50,050,575.25 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:

1 200,202,301
-1 200,202,301
Keep dividing by the next highest number until you cannot divide anymore.

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

113371011693174811,3133,7374,1216,25311,72917,06932,01748,58153,573152,477416,221631,5531,184,6291,982,2015,410,87315,400,177200,202,301
-1-13-37-101-169-317-481-1,313-3,737-4,121-6,253-11,729-17,069-32,017-48,581-53,573-152,477-416,221-631,553-1,184,629-1,982,201-5,410,873-15,400,177-200,202,301

More Examples

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