Q: What are the factor combinations of the number 33,236,225?

 A:
Positive:   1 x 332362255 x 664724511 x 302147519 x 174927525 x 132944955 x 60429595 x 349855209 x 159025275 x 120859475 x 699711045 x 318055225 x 6361
Negative: -1 x -33236225-5 x -6647245-11 x -3021475-19 x -1749275-25 x -1329449-55 x -604295-95 x -349855-209 x -159025-275 x -120859-475 x -69971-1045 x -31805-5225 x -6361


How do I find the factor combinations of the number 33,236,225?

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 33,236,225, 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 33,236,225
-1 -33,236,225

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 33,236,225.

Example:
1 x 33,236,225 = 33,236,225
and
-1 x -33,236,225 = 33,236,225
Notice both answers equal 33,236,225

With that explanation out of the way, let's continue. Next, we take the number 33,236,225 and divide it by 2:

33,236,225 ÷ 2 = 16,618,112.5

If the quotient is a whole number, then 2 and 16,618,112.5 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 33,236,225
-1 -33,236,225

Now, we try dividing 33,236,225 by 3:

33,236,225 ÷ 3 = 11,078,741.6667

If the quotient is a whole number, then 3 and 11,078,741.6667 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 33,236,225
-1 -33,236,225

Let's try dividing by 4:

33,236,225 ÷ 4 = 8,309,056.25

If the quotient is a whole number, then 4 and 8,309,056.25 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 33,236,225
-1 33,236,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754751,0455,2256,36131,80569,971120,859159,025349,855604,2951,329,4491,749,2753,021,4756,647,24533,236,225
-1-5-11-19-25-55-95-209-275-475-1,045-5,225-6,361-31,805-69,971-120,859-159,025-349,855-604,295-1,329,449-1,749,275-3,021,475-6,647,245-33,236,225

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