Q: What are the factor combinations of the number 135,686,771?

 A:
Positive:   1 x 13568677111 x 1233516119 x 7141409209 x 649219401 x 3383711619 x 838094411 x 307617619 x 17809
Negative: -1 x -135686771-11 x -12335161-19 x -7141409-209 x -649219-401 x -338371-1619 x -83809-4411 x -30761-7619 x -17809


How do I find the factor combinations of the number 135,686,771?

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 135,686,771, 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.

1 135,686,771
-1 -135,686,771

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 135,686,771.

Example:
1 x 135,686,771 = 135,686,771
and
-1 x -135,686,771 = 135,686,771
Notice both answers equal 135,686,771

With that explanation out of the way, let's continue. Next, we take the number 135,686,771 and divide it by 2:

135,686,771 ÷ 2 = 67,843,385.5

If the quotient is a whole number, then 2 and 67,843,385.5 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:

1 135,686,771
-1 -135,686,771

Now, we try dividing 135,686,771 by 3:

135,686,771 ÷ 3 = 45,228,923.6667

If the quotient is a whole number, then 3 and 45,228,923.6667 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:

1 135,686,771
-1 -135,686,771

Let's try dividing by 4:

135,686,771 ÷ 4 = 33,921,692.75

If the quotient is a whole number, then 4 and 33,921,692.75 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:

1 135,686,771
-1 135,686,771
Keep dividing by the next highest number until you cannot divide anymore.

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

111192094011,6194,4117,61917,80930,76183,809338,371649,2197,141,40912,335,161135,686,771
-1-11-19-209-401-1,619-4,411-7,619-17,809-30,761-83,809-338,371-649,219-7,141,409-12,335,161-135,686,771

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