Q: What are the factor combinations of the number 483,042,049?

 A:
Positive:   1 x 4830420497 x 6900600749 x 98580012273 x 2125134337 x 11137715911 x 30359
Negative: -1 x -483042049-7 x -69006007-49 x -9858001-2273 x -212513-4337 x -111377-15911 x -30359


How do I find the factor combinations of the number 483,042,049?

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 483,042,049, 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.

1 483,042,049
-1 -483,042,049

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 483,042,049.

Example:
1 x 483,042,049 = 483,042,049
and
-1 x -483,042,049 = 483,042,049
Notice both answers equal 483,042,049

With that explanation out of the way, let's continue. Next, we take the number 483,042,049 and divide it by 2:

483,042,049 ÷ 2 = 241,521,024.5

If the quotient is a whole number, then 2 and 241,521,024.5 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:

1 483,042,049
-1 -483,042,049

Now, we try dividing 483,042,049 by 3:

483,042,049 ÷ 3 = 161,014,016.3333

If the quotient is a whole number, then 3 and 161,014,016.3333 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:

1 483,042,049
-1 -483,042,049

Let's try dividing by 4:

483,042,049 ÷ 4 = 120,760,512.25

If the quotient is a whole number, then 4 and 120,760,512.25 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:

1 483,042,049
-1 483,042,049
Keep dividing by the next highest number until you cannot divide anymore.

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

17492,2734,33715,91130,359111,377212,5139,858,00169,006,007483,042,049
-1-7-49-2,273-4,337-15,911-30,359-111,377-212,513-9,858,001-69,006,007-483,042,049

More Examples

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