Q: What are the factor combinations of the number 134,200,055?

 A:
Positive:   1 x 1342000555 x 2684001111 x 1220000523 x 583478555 x 2440001115 x 1166957253 x 5304351265 x 106087
Negative: -1 x -134200055-5 x -26840011-11 x -12200005-23 x -5834785-55 x -2440001-115 x -1166957-253 x -530435-1265 x -106087


How do I find the factor combinations of the number 134,200,055?

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 134,200,055, 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.

1 134,200,055
-1 -134,200,055

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 134,200,055.

Example:
1 x 134,200,055 = 134,200,055
and
-1 x -134,200,055 = 134,200,055
Notice both answers equal 134,200,055

With that explanation out of the way, let's continue. Next, we take the number 134,200,055 and divide it by 2:

134,200,055 ÷ 2 = 67,100,027.5

If the quotient is a whole number, then 2 and 67,100,027.5 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:

1 134,200,055
-1 -134,200,055

Now, we try dividing 134,200,055 by 3:

134,200,055 ÷ 3 = 44,733,351.6667

If the quotient is a whole number, then 3 and 44,733,351.6667 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:

1 134,200,055
-1 -134,200,055

Let's try dividing by 4:

134,200,055 ÷ 4 = 33,550,013.75

If the quotient is a whole number, then 4 and 33,550,013.75 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:

1 134,200,055
-1 134,200,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,265106,087530,4351,166,9572,440,0015,834,78512,200,00526,840,011134,200,055
-1-5-11-23-55-115-253-1,265-106,087-530,435-1,166,957-2,440,001-5,834,785-12,200,005-26,840,011-134,200,055

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