Q: What are the factor combinations of the number 363,216,611?

 A:
Positive:   1 x 36321661117 x 2136568347 x 7728013499 x 727889799 x 454589911 x 3987018483 x 4281715487 x 23453
Negative: -1 x -363216611-17 x -21365683-47 x -7728013-499 x -727889-799 x -454589-911 x -398701-8483 x -42817-15487 x -23453


How do I find the factor combinations of the number 363,216,611?

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 363,216,611, 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.

1 363,216,611
-1 -363,216,611

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 363,216,611.

Example:
1 x 363,216,611 = 363,216,611
and
-1 x -363,216,611 = 363,216,611
Notice both answers equal 363,216,611

With that explanation out of the way, let's continue. Next, we take the number 363,216,611 and divide it by 2:

363,216,611 ÷ 2 = 181,608,305.5

If the quotient is a whole number, then 2 and 181,608,305.5 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:

1 363,216,611
-1 -363,216,611

Now, we try dividing 363,216,611 by 3:

363,216,611 ÷ 3 = 121,072,203.6667

If the quotient is a whole number, then 3 and 121,072,203.6667 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:

1 363,216,611
-1 -363,216,611

Let's try dividing by 4:

363,216,611 ÷ 4 = 90,804,152.75

If the quotient is a whole number, then 4 and 90,804,152.75 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:

1 363,216,611
-1 363,216,611
Keep dividing by the next highest number until you cannot divide anymore.

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

117474997999118,48315,48723,45342,817398,701454,589727,8897,728,01321,365,683363,216,611
-1-17-47-499-799-911-8,483-15,487-23,453-42,817-398,701-454,589-727,889-7,728,013-21,365,683-363,216,611

More Examples

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