Q: What are the factor combinations of the number 33,845,825?

 A:
Positive:   1 x 338458255 x 676916513 x 260352525 x 135383365 x 520705223 x 151775325 x 104141467 x 724751115 x 303552335 x 144952899 x 116755575 x 6071
Negative: -1 x -33845825-5 x -6769165-13 x -2603525-25 x -1353833-65 x -520705-223 x -151775-325 x -104141-467 x -72475-1115 x -30355-2335 x -14495-2899 x -11675-5575 x -6071


How do I find the factor combinations of the number 33,845,825?

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 33,845,825, 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 33,845,825
-1 -33,845,825

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 33,845,825.

Example:
1 x 33,845,825 = 33,845,825
and
-1 x -33,845,825 = 33,845,825
Notice both answers equal 33,845,825

With that explanation out of the way, let's continue. Next, we take the number 33,845,825 and divide it by 2:

33,845,825 ÷ 2 = 16,922,912.5

If the quotient is a whole number, then 2 and 16,922,912.5 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 33,845,825
-1 -33,845,825

Now, we try dividing 33,845,825 by 3:

33,845,825 ÷ 3 = 11,281,941.6667

If the quotient is a whole number, then 3 and 11,281,941.6667 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 33,845,825
-1 -33,845,825

Let's try dividing by 4:

33,845,825 ÷ 4 = 8,461,456.25

If the quotient is a whole number, then 4 and 8,461,456.25 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 33,845,825
-1 33,845,825
Keep dividing by the next highest number until you cannot divide anymore.

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

151325652233254671,1152,3352,8995,5756,07111,67514,49530,35572,475104,141151,775520,7051,353,8332,603,5256,769,16533,845,825
-1-5-13-25-65-223-325-467-1,115-2,335-2,899-5,575-6,071-11,675-14,495-30,355-72,475-104,141-151,775-520,705-1,353,833-2,603,525-6,769,165-33,845,825

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