Q: What are the factor combinations of the number 132,152,503?

 A:
Positive:   1 x 1321525037 x 1887892923 x 5745761161 x 820823263 x 5024811841 x 717833121 x 423436049 x 21847
Negative: -1 x -132152503-7 x -18878929-23 x -5745761-161 x -820823-263 x -502481-1841 x -71783-3121 x -42343-6049 x -21847


How do I find the factor combinations of the number 132,152,503?

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 132,152,503, 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.

1 132,152,503
-1 -132,152,503

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 132,152,503.

Example:
1 x 132,152,503 = 132,152,503
and
-1 x -132,152,503 = 132,152,503
Notice both answers equal 132,152,503

With that explanation out of the way, let's continue. Next, we take the number 132,152,503 and divide it by 2:

132,152,503 ÷ 2 = 66,076,251.5

If the quotient is a whole number, then 2 and 66,076,251.5 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:

1 132,152,503
-1 -132,152,503

Now, we try dividing 132,152,503 by 3:

132,152,503 ÷ 3 = 44,050,834.3333

If the quotient is a whole number, then 3 and 44,050,834.3333 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:

1 132,152,503
-1 -132,152,503

Let's try dividing by 4:

132,152,503 ÷ 4 = 33,038,125.75

If the quotient is a whole number, then 4 and 33,038,125.75 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:

1 132,152,503
-1 132,152,503
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612631,8413,1216,04921,84742,34371,783502,481820,8235,745,76118,878,929132,152,503
-1-7-23-161-263-1,841-3,121-6,049-21,847-42,343-71,783-502,481-820,823-5,745,761-18,878,929-132,152,503

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