Q: What are the factor combinations of the number 228,365,071?

 A:
Positive:   1 x 22836507111 x 20760461107 x 2134253251 x 909821773 x 2954271177 x 1940232761 x 827118503 x 26857
Negative: -1 x -228365071-11 x -20760461-107 x -2134253-251 x -909821-773 x -295427-1177 x -194023-2761 x -82711-8503 x -26857


How do I find the factor combinations of the number 228,365,071?

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 228,365,071, 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.

1 228,365,071
-1 -228,365,071

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 228,365,071.

Example:
1 x 228,365,071 = 228,365,071
and
-1 x -228,365,071 = 228,365,071
Notice both answers equal 228,365,071

With that explanation out of the way, let's continue. Next, we take the number 228,365,071 and divide it by 2:

228,365,071 ÷ 2 = 114,182,535.5

If the quotient is a whole number, then 2 and 114,182,535.5 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:

1 228,365,071
-1 -228,365,071

Now, we try dividing 228,365,071 by 3:

228,365,071 ÷ 3 = 76,121,690.3333

If the quotient is a whole number, then 3 and 76,121,690.3333 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:

1 228,365,071
-1 -228,365,071

Let's try dividing by 4:

228,365,071 ÷ 4 = 57,091,267.75

If the quotient is a whole number, then 4 and 57,091,267.75 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:

1 228,365,071
-1 228,365,071
Keep dividing by the next highest number until you cannot divide anymore.

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

1111072517731,1772,7618,50326,85782,711194,023295,427909,8212,134,25320,760,461228,365,071
-1-11-107-251-773-1,177-2,761-8,503-26,857-82,711-194,023-295,427-909,821-2,134,253-20,760,461-228,365,071

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