Q: What are the factor combinations of the number 132,077,153?

 A:
Positive:   1 x 13207715313 x 1015978183 x 1591291109 x 12117171079 x 1224071123 x 1176111417 x 932099047 x 14599
Negative: -1 x -132077153-13 x -10159781-83 x -1591291-109 x -1211717-1079 x -122407-1123 x -117611-1417 x -93209-9047 x -14599


How do I find the factor combinations of the number 132,077,153?

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 132,077,153, 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.

1 132,077,153
-1 -132,077,153

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 132,077,153.

Example:
1 x 132,077,153 = 132,077,153
and
-1 x -132,077,153 = 132,077,153
Notice both answers equal 132,077,153

With that explanation out of the way, let's continue. Next, we take the number 132,077,153 and divide it by 2:

132,077,153 ÷ 2 = 66,038,576.5

If the quotient is a whole number, then 2 and 66,038,576.5 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:

1 132,077,153
-1 -132,077,153

Now, we try dividing 132,077,153 by 3:

132,077,153 ÷ 3 = 44,025,717.6667

If the quotient is a whole number, then 3 and 44,025,717.6667 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:

1 132,077,153
-1 -132,077,153

Let's try dividing by 4:

132,077,153 ÷ 4 = 33,019,288.25

If the quotient is a whole number, then 4 and 33,019,288.25 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:

1 132,077,153
-1 132,077,153
Keep dividing by the next highest number until you cannot divide anymore.

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

113831091,0791,1231,4179,04714,59993,209117,611122,4071,211,7171,591,29110,159,781132,077,153
-1-13-83-109-1,079-1,123-1,417-9,047-14,599-93,209-117,611-122,407-1,211,717-1,591,291-10,159,781-132,077,153

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