Q: What are the factor combinations of the number 212,320,115?

 A:
Positive:   1 x 2123201155 x 424640237 x 3033144535 x 6066289691 x 3072653455 x 614534837 x 438958779 x 24185
Negative: -1 x -212320115-5 x -42464023-7 x -30331445-35 x -6066289-691 x -307265-3455 x -61453-4837 x -43895-8779 x -24185


How do I find the factor combinations of the number 212,320,115?

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 212,320,115, 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.

1 212,320,115
-1 -212,320,115

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 212,320,115.

Example:
1 x 212,320,115 = 212,320,115
and
-1 x -212,320,115 = 212,320,115
Notice both answers equal 212,320,115

With that explanation out of the way, let's continue. Next, we take the number 212,320,115 and divide it by 2:

212,320,115 ÷ 2 = 106,160,057.5

If the quotient is a whole number, then 2 and 106,160,057.5 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:

1 212,320,115
-1 -212,320,115

Now, we try dividing 212,320,115 by 3:

212,320,115 ÷ 3 = 70,773,371.6667

If the quotient is a whole number, then 3 and 70,773,371.6667 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:

1 212,320,115
-1 -212,320,115

Let's try dividing by 4:

212,320,115 ÷ 4 = 53,080,028.75

If the quotient is a whole number, then 4 and 53,080,028.75 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:

1 212,320,115
-1 212,320,115
Keep dividing by the next highest number until you cannot divide anymore.

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

157356913,4554,8378,77924,18543,89561,453307,2656,066,28930,331,44542,464,023212,320,115
-1-5-7-35-691-3,455-4,837-8,779-24,185-43,895-61,453-307,265-6,066,289-30,331,445-42,464,023-212,320,115

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