Q: What are the factor combinations of the number 135,551,225?

 A:
Positive:   1 x 1355512255 x 2711024519 x 713427525 x 542204995 x 1426855137 x 989425475 x 285371685 x 1978852083 x 650752603 x 520753425 x 3957710415 x 13015
Negative: -1 x -135551225-5 x -27110245-19 x -7134275-25 x -5422049-95 x -1426855-137 x -989425-475 x -285371-685 x -197885-2083 x -65075-2603 x -52075-3425 x -39577-10415 x -13015


How do I find the factor combinations of the number 135,551,225?

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 135,551,225, 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.

1 135,551,225
-1 -135,551,225

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 135,551,225.

Example:
1 x 135,551,225 = 135,551,225
and
-1 x -135,551,225 = 135,551,225
Notice both answers equal 135,551,225

With that explanation out of the way, let's continue. Next, we take the number 135,551,225 and divide it by 2:

135,551,225 ÷ 2 = 67,775,612.5

If the quotient is a whole number, then 2 and 67,775,612.5 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:

1 135,551,225
-1 -135,551,225

Now, we try dividing 135,551,225 by 3:

135,551,225 ÷ 3 = 45,183,741.6667

If the quotient is a whole number, then 3 and 45,183,741.6667 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:

1 135,551,225
-1 -135,551,225

Let's try dividing by 4:

135,551,225 ÷ 4 = 33,887,806.25

If the quotient is a whole number, then 4 and 33,887,806.25 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:

1 135,551,225
-1 135,551,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951374756852,0832,6033,42510,41513,01539,57752,07565,075197,885285,371989,4251,426,8555,422,0497,134,27527,110,245135,551,225
-1-5-19-25-95-137-475-685-2,083-2,603-3,425-10,415-13,015-39,577-52,075-65,075-197,885-285,371-989,425-1,426,855-5,422,049-7,134,275-27,110,245-135,551,225

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