Q: What are the factor combinations of the number 136,034,723?

 A:
Positive:   1 x 13603472311 x 1236679367 x 2030369131 x 1038433737 x 1845791409 x 965471441 x 944038777 x 15499
Negative: -1 x -136034723-11 x -12366793-67 x -2030369-131 x -1038433-737 x -184579-1409 x -96547-1441 x -94403-8777 x -15499


How do I find the factor combinations of the number 136,034,723?

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 136,034,723, 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.

1 136,034,723
-1 -136,034,723

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 136,034,723.

Example:
1 x 136,034,723 = 136,034,723
and
-1 x -136,034,723 = 136,034,723
Notice both answers equal 136,034,723

With that explanation out of the way, let's continue. Next, we take the number 136,034,723 and divide it by 2:

136,034,723 ÷ 2 = 68,017,361.5

If the quotient is a whole number, then 2 and 68,017,361.5 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:

1 136,034,723
-1 -136,034,723

Now, we try dividing 136,034,723 by 3:

136,034,723 ÷ 3 = 45,344,907.6667

If the quotient is a whole number, then 3 and 45,344,907.6667 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:

1 136,034,723
-1 -136,034,723

Let's try dividing by 4:

136,034,723 ÷ 4 = 34,008,680.75

If the quotient is a whole number, then 4 and 34,008,680.75 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:

1 136,034,723
-1 136,034,723
Keep dividing by the next highest number until you cannot divide anymore.

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

111671317371,4091,4418,77715,49994,40396,547184,5791,038,4332,030,36912,366,793136,034,723
-1-11-67-131-737-1,409-1,441-8,777-15,499-94,403-96,547-184,579-1,038,433-2,030,369-12,366,793-136,034,723

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