Q: What are the factor combinations of the number 33,678,887?

 A:
Positive:   1 x 3367888711 x 306171717 x 198111119 x 1772573187 x 180101209 x 161143323 x 1042693553 x 9479
Negative: -1 x -33678887-11 x -3061717-17 x -1981111-19 x -1772573-187 x -180101-209 x -161143-323 x -104269-3553 x -9479


How do I find the factor combinations of the number 33,678,887?

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 33,678,887, 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 33,678,887
-1 -33,678,887

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 33,678,887.

Example:
1 x 33,678,887 = 33,678,887
and
-1 x -33,678,887 = 33,678,887
Notice both answers equal 33,678,887

With that explanation out of the way, let's continue. Next, we take the number 33,678,887 and divide it by 2:

33,678,887 ÷ 2 = 16,839,443.5

If the quotient is a whole number, then 2 and 16,839,443.5 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 33,678,887
-1 -33,678,887

Now, we try dividing 33,678,887 by 3:

33,678,887 ÷ 3 = 11,226,295.6667

If the quotient is a whole number, then 3 and 11,226,295.6667 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 33,678,887
-1 -33,678,887

Let's try dividing by 4:

33,678,887 ÷ 4 = 8,419,721.75

If the quotient is a whole number, then 4 and 8,419,721.75 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 33,678,887
-1 33,678,887
Keep dividing by the next highest number until you cannot divide anymore.

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

11117191872093233,5539,479104,269161,143180,1011,772,5731,981,1113,061,71733,678,887
-1-11-17-19-187-209-323-3,553-9,479-104,269-161,143-180,101-1,772,573-1,981,111-3,061,717-33,678,887

More Examples

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