Q: What are the factor combinations of the number 132,400,255?

 A:
Positive:   1 x 1324002555 x 2648005113 x 1018463565 x 2036927719 x 1841452833 x 467353595 x 368299347 x 14165
Negative: -1 x -132400255-5 x -26480051-13 x -10184635-65 x -2036927-719 x -184145-2833 x -46735-3595 x -36829-9347 x -14165


How do I find the factor combinations of the number 132,400,255?

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 132,400,255, 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.

1 132,400,255
-1 -132,400,255

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 132,400,255.

Example:
1 x 132,400,255 = 132,400,255
and
-1 x -132,400,255 = 132,400,255
Notice both answers equal 132,400,255

With that explanation out of the way, let's continue. Next, we take the number 132,400,255 and divide it by 2:

132,400,255 ÷ 2 = 66,200,127.5

If the quotient is a whole number, then 2 and 66,200,127.5 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:

1 132,400,255
-1 -132,400,255

Now, we try dividing 132,400,255 by 3:

132,400,255 ÷ 3 = 44,133,418.3333

If the quotient is a whole number, then 3 and 44,133,418.3333 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:

1 132,400,255
-1 -132,400,255

Let's try dividing by 4:

132,400,255 ÷ 4 = 33,100,063.75

If the quotient is a whole number, then 4 and 33,100,063.75 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:

1 132,400,255
-1 132,400,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1513657192,8333,5959,34714,16536,82946,735184,1452,036,92710,184,63526,480,051132,400,255
-1-5-13-65-719-2,833-3,595-9,347-14,165-36,829-46,735-184,145-2,036,927-10,184,635-26,480,051-132,400,255

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