Q: What are the factor combinations of the number 200,013,211?

 A:
Positive:   1 x 20001321117 x 1176548341 x 487837173 x 2739907697 x 2869631241 x 1611712993 x 668273931 x 50881
Negative: -1 x -200013211-17 x -11765483-41 x -4878371-73 x -2739907-697 x -286963-1241 x -161171-2993 x -66827-3931 x -50881


How do I find the factor combinations of the number 200,013,211?

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 200,013,211, 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.

1 200,013,211
-1 -200,013,211

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 200,013,211.

Example:
1 x 200,013,211 = 200,013,211
and
-1 x -200,013,211 = 200,013,211
Notice both answers equal 200,013,211

With that explanation out of the way, let's continue. Next, we take the number 200,013,211 and divide it by 2:

200,013,211 ÷ 2 = 100,006,605.5

If the quotient is a whole number, then 2 and 100,006,605.5 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:

1 200,013,211
-1 -200,013,211

Now, we try dividing 200,013,211 by 3:

200,013,211 ÷ 3 = 66,671,070.3333

If the quotient is a whole number, then 3 and 66,671,070.3333 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:

1 200,013,211
-1 -200,013,211

Let's try dividing by 4:

200,013,211 ÷ 4 = 50,003,302.75

If the quotient is a whole number, then 4 and 50,003,302.75 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:

1 200,013,211
-1 200,013,211
Keep dividing by the next highest number until you cannot divide anymore.

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

11741736971,2412,9933,93150,88166,827161,171286,9632,739,9074,878,37111,765,483200,013,211
-1-17-41-73-697-1,241-2,993-3,931-50,881-66,827-161,171-286,963-2,739,907-4,878,371-11,765,483-200,013,211

More Examples

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