Q: What are the factor combinations of the number 483,841,007?

 A:
Positive:   1 x 48384100713 x 3721853973 x 6627959949 x 509843
Negative: -1 x -483841007-13 x -37218539-73 x -6627959-949 x -509843


How do I find the factor combinations of the number 483,841,007?

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 483,841,007, 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.

1 483,841,007
-1 -483,841,007

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 483,841,007.

Example:
1 x 483,841,007 = 483,841,007
and
-1 x -483,841,007 = 483,841,007
Notice both answers equal 483,841,007

With that explanation out of the way, let's continue. Next, we take the number 483,841,007 and divide it by 2:

483,841,007 ÷ 2 = 241,920,503.5

If the quotient is a whole number, then 2 and 241,920,503.5 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:

1 483,841,007
-1 -483,841,007

Now, we try dividing 483,841,007 by 3:

483,841,007 ÷ 3 = 161,280,335.6667

If the quotient is a whole number, then 3 and 161,280,335.6667 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:

1 483,841,007
-1 -483,841,007

Let's try dividing by 4:

483,841,007 ÷ 4 = 120,960,251.75

If the quotient is a whole number, then 4 and 120,960,251.75 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:

1 483,841,007
-1 483,841,007
Keep dividing by the next highest number until you cannot divide anymore.

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

11373949509,8436,627,95937,218,539483,841,007
-1-13-73-949-509,843-6,627,959-37,218,539-483,841,007

More Examples

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