Q: What are the factor combinations of the number 132,355,225?

 A:
Positive:   1 x 1323552255 x 2647104523 x 575457525 x 5294209115 x 1150915383 x 345575575 x 230183601 x 2202251915 x 691153005 x 440458809 x 150259575 x 13823
Negative: -1 x -132355225-5 x -26471045-23 x -5754575-25 x -5294209-115 x -1150915-383 x -345575-575 x -230183-601 x -220225-1915 x -69115-3005 x -44045-8809 x -15025-9575 x -13823


How do I find the factor combinations of the number 132,355,225?

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 132,355,225, 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.

1 132,355,225
-1 -132,355,225

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 132,355,225.

Example:
1 x 132,355,225 = 132,355,225
and
-1 x -132,355,225 = 132,355,225
Notice both answers equal 132,355,225

With that explanation out of the way, let's continue. Next, we take the number 132,355,225 and divide it by 2:

132,355,225 ÷ 2 = 66,177,612.5

If the quotient is a whole number, then 2 and 66,177,612.5 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:

1 132,355,225
-1 -132,355,225

Now, we try dividing 132,355,225 by 3:

132,355,225 ÷ 3 = 44,118,408.3333

If the quotient is a whole number, then 3 and 44,118,408.3333 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:

1 132,355,225
-1 -132,355,225

Let's try dividing by 4:

132,355,225 ÷ 4 = 33,088,806.25

If the quotient is a whole number, then 4 and 33,088,806.25 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:

1 132,355,225
-1 132,355,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251153835756011,9153,0058,8099,57513,82315,02544,04569,115220,225230,183345,5751,150,9155,294,2095,754,57526,471,045132,355,225
-1-5-23-25-115-383-575-601-1,915-3,005-8,809-9,575-13,823-15,025-44,045-69,115-220,225-230,183-345,575-1,150,915-5,294,209-5,754,575-26,471,045-132,355,225

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