Q: What are the factor combinations of the number 134,243,135?

 A:
Positive:   1 x 1342431355 x 2684862713 x 1032639517 x 789665565 x 206527985 x 1579331221 x 6074351105 x 121487
Negative: -1 x -134243135-5 x -26848627-13 x -10326395-17 x -7896655-65 x -2065279-85 x -1579331-221 x -607435-1105 x -121487


How do I find the factor combinations of the number 134,243,135?

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 134,243,135, 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.

1 134,243,135
-1 -134,243,135

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 134,243,135.

Example:
1 x 134,243,135 = 134,243,135
and
-1 x -134,243,135 = 134,243,135
Notice both answers equal 134,243,135

With that explanation out of the way, let's continue. Next, we take the number 134,243,135 and divide it by 2:

134,243,135 ÷ 2 = 67,121,567.5

If the quotient is a whole number, then 2 and 67,121,567.5 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:

1 134,243,135
-1 -134,243,135

Now, we try dividing 134,243,135 by 3:

134,243,135 ÷ 3 = 44,747,711.6667

If the quotient is a whole number, then 3 and 44,747,711.6667 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:

1 134,243,135
-1 -134,243,135

Let's try dividing by 4:

134,243,135 ÷ 4 = 33,560,783.75

If the quotient is a whole number, then 4 and 33,560,783.75 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:

1 134,243,135
-1 134,243,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105121,487607,4351,579,3312,065,2797,896,65510,326,39526,848,627134,243,135
-1-5-13-17-65-85-221-1,105-121,487-607,435-1,579,331-2,065,279-7,896,655-10,326,395-26,848,627-134,243,135

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