Q: What are the factor combinations of the number 135,202,045?

 A:
Positive:   1 x 1352020455 x 2704040911 x 1229109555 x 2458219421 x 3211452105 x 642294631 x 291955839 x 23155
Negative: -1 x -135202045-5 x -27040409-11 x -12291095-55 x -2458219-421 x -321145-2105 x -64229-4631 x -29195-5839 x -23155


How do I find the factor combinations of the number 135,202,045?

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 135,202,045, 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.

1 135,202,045
-1 -135,202,045

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 135,202,045.

Example:
1 x 135,202,045 = 135,202,045
and
-1 x -135,202,045 = 135,202,045
Notice both answers equal 135,202,045

With that explanation out of the way, let's continue. Next, we take the number 135,202,045 and divide it by 2:

135,202,045 ÷ 2 = 67,601,022.5

If the quotient is a whole number, then 2 and 67,601,022.5 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:

1 135,202,045
-1 -135,202,045

Now, we try dividing 135,202,045 by 3:

135,202,045 ÷ 3 = 45,067,348.3333

If the quotient is a whole number, then 3 and 45,067,348.3333 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:

1 135,202,045
-1 -135,202,045

Let's try dividing by 4:

135,202,045 ÷ 4 = 33,800,511.25

If the quotient is a whole number, then 4 and 33,800,511.25 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:

1 135,202,045
-1 135,202,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1511554212,1054,6315,83923,15529,19564,229321,1452,458,21912,291,09527,040,409135,202,045
-1-5-11-55-421-2,105-4,631-5,839-23,155-29,195-64,229-321,145-2,458,219-12,291,095-27,040,409-135,202,045

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