Q: What are the factor combinations of the number 33,846,815?

 A:
Positive:   1 x 338468155 x 676936347 x 72014573 x 463655235 x 144029365 x 927311973 x 171553431 x 9865
Negative: -1 x -33846815-5 x -6769363-47 x -720145-73 x -463655-235 x -144029-365 x -92731-1973 x -17155-3431 x -9865


How do I find the factor combinations of the number 33,846,815?

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 33,846,815, 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 33,846,815
-1 -33,846,815

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 33,846,815.

Example:
1 x 33,846,815 = 33,846,815
and
-1 x -33,846,815 = 33,846,815
Notice both answers equal 33,846,815

With that explanation out of the way, let's continue. Next, we take the number 33,846,815 and divide it by 2:

33,846,815 ÷ 2 = 16,923,407.5

If the quotient is a whole number, then 2 and 16,923,407.5 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 33,846,815
-1 -33,846,815

Now, we try dividing 33,846,815 by 3:

33,846,815 ÷ 3 = 11,282,271.6667

If the quotient is a whole number, then 3 and 11,282,271.6667 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 33,846,815
-1 -33,846,815

Let's try dividing by 4:

33,846,815 ÷ 4 = 8,461,703.75

If the quotient is a whole number, then 4 and 8,461,703.75 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 33,846,815
-1 33,846,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1547732353651,9733,4319,86517,15592,731144,029463,655720,1456,769,36333,846,815
-1-5-47-73-235-365-1,973-3,431-9,865-17,155-92,731-144,029-463,655-720,145-6,769,363-33,846,815

More Examples

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