Q: What are the factor combinations of the number 333,461,531?

 A:
Positive:   1 x 33346153113 x 2565088753 x 6291727113 x 2950987689 x 4839791469 x 2269994283 x 778575989 x 55679
Negative: -1 x -333461531-13 x -25650887-53 x -6291727-113 x -2950987-689 x -483979-1469 x -226999-4283 x -77857-5989 x -55679


How do I find the factor combinations of the number 333,461,531?

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 333,461,531, 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.

1 333,461,531
-1 -333,461,531

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 333,461,531.

Example:
1 x 333,461,531 = 333,461,531
and
-1 x -333,461,531 = 333,461,531
Notice both answers equal 333,461,531

With that explanation out of the way, let's continue. Next, we take the number 333,461,531 and divide it by 2:

333,461,531 ÷ 2 = 166,730,765.5

If the quotient is a whole number, then 2 and 166,730,765.5 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:

1 333,461,531
-1 -333,461,531

Now, we try dividing 333,461,531 by 3:

333,461,531 ÷ 3 = 111,153,843.6667

If the quotient is a whole number, then 3 and 111,153,843.6667 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:

1 333,461,531
-1 -333,461,531

Let's try dividing by 4:

333,461,531 ÷ 4 = 83,365,382.75

If the quotient is a whole number, then 4 and 83,365,382.75 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:

1 333,461,531
-1 333,461,531
Keep dividing by the next highest number until you cannot divide anymore.

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

113531136891,4694,2835,98955,67977,857226,999483,9792,950,9876,291,72725,650,887333,461,531
-1-13-53-113-689-1,469-4,283-5,989-55,679-77,857-226,999-483,979-2,950,987-6,291,727-25,650,887-333,461,531

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