Q: What are the factor combinations of the number 33,430,109?

 A:
Positive:   1 x 3343010917 x 196647723 x 1453483193 x 173213391 x 85499443 x 754633281 x 101894439 x 7531
Negative: -1 x -33430109-17 x -1966477-23 x -1453483-193 x -173213-391 x -85499-443 x -75463-3281 x -10189-4439 x -7531


How do I find the factor combinations of the number 33,430,109?

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 33,430,109, 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 33,430,109
-1 -33,430,109

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 33,430,109.

Example:
1 x 33,430,109 = 33,430,109
and
-1 x -33,430,109 = 33,430,109
Notice both answers equal 33,430,109

With that explanation out of the way, let's continue. Next, we take the number 33,430,109 and divide it by 2:

33,430,109 ÷ 2 = 16,715,054.5

If the quotient is a whole number, then 2 and 16,715,054.5 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 33,430,109
-1 -33,430,109

Now, we try dividing 33,430,109 by 3:

33,430,109 ÷ 3 = 11,143,369.6667

If the quotient is a whole number, then 3 and 11,143,369.6667 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 33,430,109
-1 -33,430,109

Let's try dividing by 4:

33,430,109 ÷ 4 = 8,357,527.25

If the quotient is a whole number, then 4 and 8,357,527.25 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 33,430,109
-1 33,430,109
Keep dividing by the next highest number until you cannot divide anymore.

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

117231933914433,2814,4397,53110,18975,46385,499173,2131,453,4831,966,47733,430,109
-1-17-23-193-391-443-3,281-4,439-7,531-10,189-75,463-85,499-173,213-1,453,483-1,966,477-33,430,109

More Examples

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