Q: What are the factor combinations of the number 486,631,301?

 A:
Positive:   1 x 48663130113 x 3743317743 x 11317007559 x 870539659 x 7384391321 x 3683818567 x 5680317173 x 28337
Negative: -1 x -486631301-13 x -37433177-43 x -11317007-559 x -870539-659 x -738439-1321 x -368381-8567 x -56803-17173 x -28337


How do I find the factor combinations of the number 486,631,301?

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 486,631,301, 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.

1 486,631,301
-1 -486,631,301

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 486,631,301.

Example:
1 x 486,631,301 = 486,631,301
and
-1 x -486,631,301 = 486,631,301
Notice both answers equal 486,631,301

With that explanation out of the way, let's continue. Next, we take the number 486,631,301 and divide it by 2:

486,631,301 ÷ 2 = 243,315,650.5

If the quotient is a whole number, then 2 and 243,315,650.5 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:

1 486,631,301
-1 -486,631,301

Now, we try dividing 486,631,301 by 3:

486,631,301 ÷ 3 = 162,210,433.6667

If the quotient is a whole number, then 3 and 162,210,433.6667 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:

1 486,631,301
-1 -486,631,301

Let's try dividing by 4:

486,631,301 ÷ 4 = 121,657,825.25

If the quotient is a whole number, then 4 and 121,657,825.25 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:

1 486,631,301
-1 486,631,301
Keep dividing by the next highest number until you cannot divide anymore.

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

113435596591,3218,56717,17328,33756,803368,381738,439870,53911,317,00737,433,177486,631,301
-1-13-43-559-659-1,321-8,567-17,173-28,337-56,803-368,381-738,439-870,539-11,317,007-37,433,177-486,631,301

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