Q: What are the factor combinations of the number 242,566,483?

 A:
Positive:   1 x 24256648319 x 1276665743 x 564108147 x 5160989817 x 296899893 x 2716312021 x 1200236317 x 38399
Negative: -1 x -242566483-19 x -12766657-43 x -5641081-47 x -5160989-817 x -296899-893 x -271631-2021 x -120023-6317 x -38399


How do I find the factor combinations of the number 242,566,483?

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 242,566,483, 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.

1 242,566,483
-1 -242,566,483

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 242,566,483.

Example:
1 x 242,566,483 = 242,566,483
and
-1 x -242,566,483 = 242,566,483
Notice both answers equal 242,566,483

With that explanation out of the way, let's continue. Next, we take the number 242,566,483 and divide it by 2:

242,566,483 ÷ 2 = 121,283,241.5

If the quotient is a whole number, then 2 and 121,283,241.5 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:

1 242,566,483
-1 -242,566,483

Now, we try dividing 242,566,483 by 3:

242,566,483 ÷ 3 = 80,855,494.3333

If the quotient is a whole number, then 3 and 80,855,494.3333 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:

1 242,566,483
-1 -242,566,483

Let's try dividing by 4:

242,566,483 ÷ 4 = 60,641,620.75

If the quotient is a whole number, then 4 and 60,641,620.75 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:

1 242,566,483
-1 242,566,483
Keep dividing by the next highest number until you cannot divide anymore.

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

11943478178932,0216,31738,399120,023271,631296,8995,160,9895,641,08112,766,657242,566,483
-1-19-43-47-817-893-2,021-6,317-38,399-120,023-271,631-296,899-5,160,989-5,641,081-12,766,657-242,566,483

More Examples

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