Q: What are the factor combinations of the number 33,334,925?

 A:
Positive:   1 x 333349255 x 666698513 x 256422525 x 133339765 x 512845109 x 305825325 x 102569545 x 61165941 x 354251417 x 235252725 x 122334705 x 7085
Negative: -1 x -33334925-5 x -6666985-13 x -2564225-25 x -1333397-65 x -512845-109 x -305825-325 x -102569-545 x -61165-941 x -35425-1417 x -23525-2725 x -12233-4705 x -7085


How do I find the factor combinations of the number 33,334,925?

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 33,334,925, 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 33,334,925
-1 -33,334,925

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 33,334,925.

Example:
1 x 33,334,925 = 33,334,925
and
-1 x -33,334,925 = 33,334,925
Notice both answers equal 33,334,925

With that explanation out of the way, let's continue. Next, we take the number 33,334,925 and divide it by 2:

33,334,925 ÷ 2 = 16,667,462.5

If the quotient is a whole number, then 2 and 16,667,462.5 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 33,334,925
-1 -33,334,925

Now, we try dividing 33,334,925 by 3:

33,334,925 ÷ 3 = 11,111,641.6667

If the quotient is a whole number, then 3 and 11,111,641.6667 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 33,334,925
-1 -33,334,925

Let's try dividing by 4:

33,334,925 ÷ 4 = 8,333,731.25

If the quotient is a whole number, then 4 and 8,333,731.25 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 33,334,925
-1 33,334,925
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651093255459411,4172,7254,7057,08512,23323,52535,42561,165102,569305,825512,8451,333,3972,564,2256,666,98533,334,925
-1-5-13-25-65-109-325-545-941-1,417-2,725-4,705-7,085-12,233-23,525-35,425-61,165-102,569-305,825-512,845-1,333,397-2,564,225-6,666,985-33,334,925

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