Q: What are the factor combinations of the number 135,661,333?

 A:
Positive:   1 x 13566133329 x 467797741 x 330881371 x 19107231189 x 1140971607 x 844192059 x 658872911 x 46603
Negative: -1 x -135661333-29 x -4677977-41 x -3308813-71 x -1910723-1189 x -114097-1607 x -84419-2059 x -65887-2911 x -46603


How do I find the factor combinations of the number 135,661,333?

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 135,661,333, 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.

1 135,661,333
-1 -135,661,333

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 135,661,333.

Example:
1 x 135,661,333 = 135,661,333
and
-1 x -135,661,333 = 135,661,333
Notice both answers equal 135,661,333

With that explanation out of the way, let's continue. Next, we take the number 135,661,333 and divide it by 2:

135,661,333 ÷ 2 = 67,830,666.5

If the quotient is a whole number, then 2 and 67,830,666.5 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:

1 135,661,333
-1 -135,661,333

Now, we try dividing 135,661,333 by 3:

135,661,333 ÷ 3 = 45,220,444.3333

If the quotient is a whole number, then 3 and 45,220,444.3333 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:

1 135,661,333
-1 -135,661,333

Let's try dividing by 4:

135,661,333 ÷ 4 = 33,915,333.25

If the quotient is a whole number, then 4 and 33,915,333.25 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:

1 135,661,333
-1 135,661,333
Keep dividing by the next highest number until you cannot divide anymore.

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

12941711,1891,6072,0592,91146,60365,88784,419114,0971,910,7233,308,8134,677,977135,661,333
-1-29-41-71-1,189-1,607-2,059-2,911-46,603-65,887-84,419-114,097-1,910,723-3,308,813-4,677,977-135,661,333

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