Q: What are the factor combinations of the number 243,364,655?

 A:
Positive:   1 x 2433646555 x 486729315827 x 417658353 x 29135
Negative: -1 x -243364655-5 x -48672931-5827 x -41765-8353 x -29135


How do I find the factor combinations of the number 243,364,655?

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 243,364,655, 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.

1 243,364,655
-1 -243,364,655

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 243,364,655.

Example:
1 x 243,364,655 = 243,364,655
and
-1 x -243,364,655 = 243,364,655
Notice both answers equal 243,364,655

With that explanation out of the way, let's continue. Next, we take the number 243,364,655 and divide it by 2:

243,364,655 ÷ 2 = 121,682,327.5

If the quotient is a whole number, then 2 and 121,682,327.5 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:

1 243,364,655
-1 -243,364,655

Now, we try dividing 243,364,655 by 3:

243,364,655 ÷ 3 = 81,121,551.6667

If the quotient is a whole number, then 3 and 81,121,551.6667 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:

1 243,364,655
-1 -243,364,655

Let's try dividing by 4:

243,364,655 ÷ 4 = 60,841,163.75

If the quotient is a whole number, then 4 and 60,841,163.75 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:

1 243,364,655
-1 243,364,655
Keep dividing by the next highest number until you cannot divide anymore.

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

155,8278,35329,13541,76548,672,931243,364,655
-1-5-5,827-8,353-29,135-41,765-48,672,931-243,364,655

More Examples

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