Q: What are the factor combinations of the number 135,757,427?

 A:
Positive:   1 x 13575742713 x 1044287917 x 7985731107 x 1268761221 x 6142871391 x 975971819 x 746335741 x 23647
Negative: -1 x -135757427-13 x -10442879-17 x -7985731-107 x -1268761-221 x -614287-1391 x -97597-1819 x -74633-5741 x -23647


How do I find the factor combinations of the number 135,757,427?

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 135,757,427, 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.

1 135,757,427
-1 -135,757,427

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 135,757,427.

Example:
1 x 135,757,427 = 135,757,427
and
-1 x -135,757,427 = 135,757,427
Notice both answers equal 135,757,427

With that explanation out of the way, let's continue. Next, we take the number 135,757,427 and divide it by 2:

135,757,427 ÷ 2 = 67,878,713.5

If the quotient is a whole number, then 2 and 67,878,713.5 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:

1 135,757,427
-1 -135,757,427

Now, we try dividing 135,757,427 by 3:

135,757,427 ÷ 3 = 45,252,475.6667

If the quotient is a whole number, then 3 and 45,252,475.6667 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:

1 135,757,427
-1 -135,757,427

Let's try dividing by 4:

135,757,427 ÷ 4 = 33,939,356.75

If the quotient is a whole number, then 4 and 33,939,356.75 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:

1 135,757,427
-1 135,757,427
Keep dividing by the next highest number until you cannot divide anymore.

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

113171072211,3911,8195,74123,64774,63397,597614,2871,268,7617,985,73110,442,879135,757,427
-1-13-17-107-221-1,391-1,819-5,741-23,647-74,633-97,597-614,287-1,268,761-7,985,731-10,442,879-135,757,427

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