Q: What are the factor combinations of the number 33,342,463?

 A:
Positive:   1 x 333424637 x 476320911 x 303113377 x 433019173 x 1927311211 x 275331903 x 175212503 x 13321
Negative: -1 x -33342463-7 x -4763209-11 x -3031133-77 x -433019-173 x -192731-1211 x -27533-1903 x -17521-2503 x -13321


How do I find the factor combinations of the number 33,342,463?

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 33,342,463, 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 33,342,463
-1 -33,342,463

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 33,342,463.

Example:
1 x 33,342,463 = 33,342,463
and
-1 x -33,342,463 = 33,342,463
Notice both answers equal 33,342,463

With that explanation out of the way, let's continue. Next, we take the number 33,342,463 and divide it by 2:

33,342,463 ÷ 2 = 16,671,231.5

If the quotient is a whole number, then 2 and 16,671,231.5 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 33,342,463
-1 -33,342,463

Now, we try dividing 33,342,463 by 3:

33,342,463 ÷ 3 = 11,114,154.3333

If the quotient is a whole number, then 3 and 11,114,154.3333 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 33,342,463
-1 -33,342,463

Let's try dividing by 4:

33,342,463 ÷ 4 = 8,335,615.75

If the quotient is a whole number, then 4 and 8,335,615.75 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 33,342,463
-1 33,342,463
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771731,2111,9032,50313,32117,52127,533192,731433,0193,031,1334,763,20933,342,463
-1-7-11-77-173-1,211-1,903-2,503-13,321-17,521-27,533-192,731-433,019-3,031,133-4,763,209-33,342,463

More Examples

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