Q: What are the factor combinations of the number 33,122,185?

 A:
Positive:   1 x 331221855 x 662443723 x 1440095115 x 288019293 x 113045983 x 336951465 x 226094915 x 6739
Negative: -1 x -33122185-5 x -6624437-23 x -1440095-115 x -288019-293 x -113045-983 x -33695-1465 x -22609-4915 x -6739


How do I find the factor combinations of the number 33,122,185?

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 33,122,185, 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 33,122,185
-1 -33,122,185

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 33,122,185.

Example:
1 x 33,122,185 = 33,122,185
and
-1 x -33,122,185 = 33,122,185
Notice both answers equal 33,122,185

With that explanation out of the way, let's continue. Next, we take the number 33,122,185 and divide it by 2:

33,122,185 ÷ 2 = 16,561,092.5

If the quotient is a whole number, then 2 and 16,561,092.5 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 33,122,185
-1 -33,122,185

Now, we try dividing 33,122,185 by 3:

33,122,185 ÷ 3 = 11,040,728.3333

If the quotient is a whole number, then 3 and 11,040,728.3333 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 33,122,185
-1 -33,122,185

Let's try dividing by 4:

33,122,185 ÷ 4 = 8,280,546.25

If the quotient is a whole number, then 4 and 8,280,546.25 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 33,122,185
-1 33,122,185
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152939831,4654,9156,73922,60933,695113,045288,0191,440,0956,624,43733,122,185
-1-5-23-115-293-983-1,465-4,915-6,739-22,609-33,695-113,045-288,019-1,440,095-6,624,437-33,122,185

More Examples

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