Q: What are the factor combinations of the number 485,021,771?

 A:
Positive:   1 x 48502177113 x 37309367191 x 2539381229 x 2117999853 x 5686072483 x 1953372977 x 16292311089 x 43739
Negative: -1 x -485021771-13 x -37309367-191 x -2539381-229 x -2117999-853 x -568607-2483 x -195337-2977 x -162923-11089 x -43739


How do I find the factor combinations of the number 485,021,771?

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 485,021,771, 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.

1 485,021,771
-1 -485,021,771

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 485,021,771.

Example:
1 x 485,021,771 = 485,021,771
and
-1 x -485,021,771 = 485,021,771
Notice both answers equal 485,021,771

With that explanation out of the way, let's continue. Next, we take the number 485,021,771 and divide it by 2:

485,021,771 ÷ 2 = 242,510,885.5

If the quotient is a whole number, then 2 and 242,510,885.5 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:

1 485,021,771
-1 -485,021,771

Now, we try dividing 485,021,771 by 3:

485,021,771 ÷ 3 = 161,673,923.6667

If the quotient is a whole number, then 3 and 161,673,923.6667 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:

1 485,021,771
-1 -485,021,771

Let's try dividing by 4:

485,021,771 ÷ 4 = 121,255,442.75

If the quotient is a whole number, then 4 and 121,255,442.75 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:

1 485,021,771
-1 485,021,771
Keep dividing by the next highest number until you cannot divide anymore.

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

1131912298532,4832,97711,08943,739162,923195,337568,6072,117,9992,539,38137,309,367485,021,771
-1-13-191-229-853-2,483-2,977-11,089-43,739-162,923-195,337-568,607-2,117,999-2,539,381-37,309,367-485,021,771

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