Q: What are the factor combinations of the number 33,800,515?

 A:
Positive:   1 x 338005155 x 67601037 x 482864529 x 116553535 x 965729145 x 233107203 x 1665051015 x 33301
Negative: -1 x -33800515-5 x -6760103-7 x -4828645-29 x -1165535-35 x -965729-145 x -233107-203 x -166505-1015 x -33301


How do I find the factor combinations of the number 33,800,515?

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 33,800,515, 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 33,800,515
-1 -33,800,515

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 33,800,515.

Example:
1 x 33,800,515 = 33,800,515
and
-1 x -33,800,515 = 33,800,515
Notice both answers equal 33,800,515

With that explanation out of the way, let's continue. Next, we take the number 33,800,515 and divide it by 2:

33,800,515 ÷ 2 = 16,900,257.5

If the quotient is a whole number, then 2 and 16,900,257.5 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 33,800,515
-1 -33,800,515

Now, we try dividing 33,800,515 by 3:

33,800,515 ÷ 3 = 11,266,838.3333

If the quotient is a whole number, then 3 and 11,266,838.3333 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 33,800,515
-1 -33,800,515

Let's try dividing by 4:

33,800,515 ÷ 4 = 8,450,128.75

If the quotient is a whole number, then 4 and 8,450,128.75 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 33,800,515
-1 33,800,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15729351452031,01533,301166,505233,107965,7291,165,5354,828,6456,760,10333,800,515
-1-5-7-29-35-145-203-1,015-33,301-166,505-233,107-965,729-1,165,535-4,828,645-6,760,103-33,800,515

More Examples

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