Q: What are the factor combinations of the number 33,489,287?

 A:
Positive:   1 x 3348928713 x 257609929 x 1154803211 x 158717377 x 88831421 x 795472743 x 122095473 x 6119
Negative: -1 x -33489287-13 x -2576099-29 x -1154803-211 x -158717-377 x -88831-421 x -79547-2743 x -12209-5473 x -6119


How do I find the factor combinations of the number 33,489,287?

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 33,489,287, 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 33,489,287
-1 -33,489,287

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 33,489,287.

Example:
1 x 33,489,287 = 33,489,287
and
-1 x -33,489,287 = 33,489,287
Notice both answers equal 33,489,287

With that explanation out of the way, let's continue. Next, we take the number 33,489,287 and divide it by 2:

33,489,287 ÷ 2 = 16,744,643.5

If the quotient is a whole number, then 2 and 16,744,643.5 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 33,489,287
-1 -33,489,287

Now, we try dividing 33,489,287 by 3:

33,489,287 ÷ 3 = 11,163,095.6667

If the quotient is a whole number, then 3 and 11,163,095.6667 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 33,489,287
-1 -33,489,287

Let's try dividing by 4:

33,489,287 ÷ 4 = 8,372,321.75

If the quotient is a whole number, then 4 and 8,372,321.75 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 33,489,287
-1 33,489,287
Keep dividing by the next highest number until you cannot divide anymore.

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

113292113774212,7435,4736,11912,20979,54788,831158,7171,154,8032,576,09933,489,287
-1-13-29-211-377-421-2,743-5,473-6,119-12,209-79,547-88,831-158,717-1,154,803-2,576,099-33,489,287

More Examples

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