Q: What are the factor combinations of the number 333,364,421?

 A:
Positive:   1 x 33336442113 x 2564341731 x 10753691403 x 827207761 x 4380611087 x 3066839893 x 3369714131 x 23591
Negative: -1 x -333364421-13 x -25643417-31 x -10753691-403 x -827207-761 x -438061-1087 x -306683-9893 x -33697-14131 x -23591


How do I find the factor combinations of the number 333,364,421?

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 333,364,421, 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.

1 333,364,421
-1 -333,364,421

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 333,364,421.

Example:
1 x 333,364,421 = 333,364,421
and
-1 x -333,364,421 = 333,364,421
Notice both answers equal 333,364,421

With that explanation out of the way, let's continue. Next, we take the number 333,364,421 and divide it by 2:

333,364,421 ÷ 2 = 166,682,210.5

If the quotient is a whole number, then 2 and 166,682,210.5 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:

1 333,364,421
-1 -333,364,421

Now, we try dividing 333,364,421 by 3:

333,364,421 ÷ 3 = 111,121,473.6667

If the quotient is a whole number, then 3 and 111,121,473.6667 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:

1 333,364,421
-1 -333,364,421

Let's try dividing by 4:

333,364,421 ÷ 4 = 83,341,105.25

If the quotient is a whole number, then 4 and 83,341,105.25 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:

1 333,364,421
-1 333,364,421
Keep dividing by the next highest number until you cannot divide anymore.

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

113314037611,0879,89314,13123,59133,697306,683438,061827,20710,753,69125,643,417333,364,421
-1-13-31-403-761-1,087-9,893-14,131-23,591-33,697-306,683-438,061-827,207-10,753,691-25,643,417-333,364,421

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