Q: What are the factor combinations of the number 132,004,345?

 A:
Positive:   1 x 1320043455 x 2640086911 x 1200039537 x 356768555 x 2400079121 x 1090945185 x 713537407 x 324335605 x 2181892035 x 648674477 x 294855897 x 22385
Negative: -1 x -132004345-5 x -26400869-11 x -12000395-37 x -3567685-55 x -2400079-121 x -1090945-185 x -713537-407 x -324335-605 x -218189-2035 x -64867-4477 x -29485-5897 x -22385


How do I find the factor combinations of the number 132,004,345?

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 132,004,345, 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.

1 132,004,345
-1 -132,004,345

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 132,004,345.

Example:
1 x 132,004,345 = 132,004,345
and
-1 x -132,004,345 = 132,004,345
Notice both answers equal 132,004,345

With that explanation out of the way, let's continue. Next, we take the number 132,004,345 and divide it by 2:

132,004,345 ÷ 2 = 66,002,172.5

If the quotient is a whole number, then 2 and 66,002,172.5 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:

1 132,004,345
-1 -132,004,345

Now, we try dividing 132,004,345 by 3:

132,004,345 ÷ 3 = 44,001,448.3333

If the quotient is a whole number, then 3 and 44,001,448.3333 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:

1 132,004,345
-1 -132,004,345

Let's try dividing by 4:

132,004,345 ÷ 4 = 33,001,086.25

If the quotient is a whole number, then 4 and 33,001,086.25 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:

1 132,004,345
-1 132,004,345
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551211854076052,0354,4775,89722,38529,48564,867218,189324,335713,5371,090,9452,400,0793,567,68512,000,39526,400,869132,004,345
-1-5-11-37-55-121-185-407-605-2,035-4,477-5,897-22,385-29,485-64,867-218,189-324,335-713,537-1,090,945-2,400,079-3,567,685-12,000,395-26,400,869-132,004,345

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