Q: What are the factor combinations of the number 212,500,655?

 A:
Positive:   1 x 2125006555 x 4250013119 x 1118424595 x 2236849163 x 1303685815 x 2607373097 x 6861513723 x 15485
Negative: -1 x -212500655-5 x -42500131-19 x -11184245-95 x -2236849-163 x -1303685-815 x -260737-3097 x -68615-13723 x -15485


How do I find the factor combinations of the number 212,500,655?

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 212,500,655, 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.

1 212,500,655
-1 -212,500,655

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 212,500,655.

Example:
1 x 212,500,655 = 212,500,655
and
-1 x -212,500,655 = 212,500,655
Notice both answers equal 212,500,655

With that explanation out of the way, let's continue. Next, we take the number 212,500,655 and divide it by 2:

212,500,655 ÷ 2 = 106,250,327.5

If the quotient is a whole number, then 2 and 106,250,327.5 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:

1 212,500,655
-1 -212,500,655

Now, we try dividing 212,500,655 by 3:

212,500,655 ÷ 3 = 70,833,551.6667

If the quotient is a whole number, then 3 and 70,833,551.6667 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:

1 212,500,655
-1 -212,500,655

Let's try dividing by 4:

212,500,655 ÷ 4 = 53,125,163.75

If the quotient is a whole number, then 4 and 53,125,163.75 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:

1 212,500,655
-1 212,500,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951638153,09713,72315,48568,615260,7371,303,6852,236,84911,184,24542,500,131212,500,655
-1-5-19-95-163-815-3,097-13,723-15,485-68,615-260,737-1,303,685-2,236,849-11,184,245-42,500,131-212,500,655

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