Q: What are the factor combinations of the number 33,671,729?

 A:
Positive:   1 x 336717297 x 481024713 x 259013391 x 370019169 x 1992411183 x 28463
Negative: -1 x -33671729-7 x -4810247-13 x -2590133-91 x -370019-169 x -199241-1183 x -28463


How do I find the factor combinations of the number 33,671,729?

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 33,671,729, 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 33,671,729
-1 -33,671,729

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 33,671,729.

Example:
1 x 33,671,729 = 33,671,729
and
-1 x -33,671,729 = 33,671,729
Notice both answers equal 33,671,729

With that explanation out of the way, let's continue. Next, we take the number 33,671,729 and divide it by 2:

33,671,729 ÷ 2 = 16,835,864.5

If the quotient is a whole number, then 2 and 16,835,864.5 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 33,671,729
-1 -33,671,729

Now, we try dividing 33,671,729 by 3:

33,671,729 ÷ 3 = 11,223,909.6667

If the quotient is a whole number, then 3 and 11,223,909.6667 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 33,671,729
-1 -33,671,729

Let's try dividing by 4:

33,671,729 ÷ 4 = 8,417,932.25

If the quotient is a whole number, then 4 and 8,417,932.25 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 33,671,729
-1 33,671,729
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911691,18328,463199,241370,0192,590,1334,810,24733,671,729
-1-7-13-91-169-1,183-28,463-199,241-370,019-2,590,133-4,810,247-33,671,729

More Examples

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