Q: What are the factor combinations of the number 303,551,167?

 A:
Positive:   1 x 30355116717 x 1785595141 x 7403687269 x 1128443697 x 4355111619 x 1874934573 x 6637911029 x 27523
Negative: -1 x -303551167-17 x -17855951-41 x -7403687-269 x -1128443-697 x -435511-1619 x -187493-4573 x -66379-11029 x -27523


How do I find the factor combinations of the number 303,551,167?

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 303,551,167, 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.

1 303,551,167
-1 -303,551,167

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 303,551,167.

Example:
1 x 303,551,167 = 303,551,167
and
-1 x -303,551,167 = 303,551,167
Notice both answers equal 303,551,167

With that explanation out of the way, let's continue. Next, we take the number 303,551,167 and divide it by 2:

303,551,167 ÷ 2 = 151,775,583.5

If the quotient is a whole number, then 2 and 151,775,583.5 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:

1 303,551,167
-1 -303,551,167

Now, we try dividing 303,551,167 by 3:

303,551,167 ÷ 3 = 101,183,722.3333

If the quotient is a whole number, then 3 and 101,183,722.3333 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:

1 303,551,167
-1 -303,551,167

Let's try dividing by 4:

303,551,167 ÷ 4 = 75,887,791.75

If the quotient is a whole number, then 4 and 75,887,791.75 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:

1 303,551,167
-1 303,551,167
Keep dividing by the next highest number until you cannot divide anymore.

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

117412696971,6194,57311,02927,52366,379187,493435,5111,128,4437,403,68717,855,951303,551,167
-1-17-41-269-697-1,619-4,573-11,029-27,523-66,379-187,493-435,511-1,128,443-7,403,687-17,855,951-303,551,167

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