Q: What are the factor combinations of the number 33,946,925?

 A:
Positive:   1 x 339469255 x 678938525 x 135787747 x 722275167 x 203275173 x 196225235 x 144455835 x 40655865 x 392451175 x 288914175 x 81314325 x 7849
Negative: -1 x -33946925-5 x -6789385-25 x -1357877-47 x -722275-167 x -203275-173 x -196225-235 x -144455-835 x -40655-865 x -39245-1175 x -28891-4175 x -8131-4325 x -7849


How do I find the factor combinations of the number 33,946,925?

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 33,946,925, 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 33,946,925
-1 -33,946,925

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 33,946,925.

Example:
1 x 33,946,925 = 33,946,925
and
-1 x -33,946,925 = 33,946,925
Notice both answers equal 33,946,925

With that explanation out of the way, let's continue. Next, we take the number 33,946,925 and divide it by 2:

33,946,925 ÷ 2 = 16,973,462.5

If the quotient is a whole number, then 2 and 16,973,462.5 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 33,946,925
-1 -33,946,925

Now, we try dividing 33,946,925 by 3:

33,946,925 ÷ 3 = 11,315,641.6667

If the quotient is a whole number, then 3 and 11,315,641.6667 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 33,946,925
-1 -33,946,925

Let's try dividing by 4:

33,946,925 ÷ 4 = 8,486,731.25

If the quotient is a whole number, then 4 and 8,486,731.25 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 33,946,925
-1 33,946,925
Keep dividing by the next highest number until you cannot divide anymore.

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

1525471671732358358651,1754,1754,3257,8498,13128,89139,24540,655144,455196,225203,275722,2751,357,8776,789,38533,946,925
-1-5-25-47-167-173-235-835-865-1,175-4,175-4,325-7,849-8,131-28,891-39,245-40,655-144,455-196,225-203,275-722,275-1,357,877-6,789,385-33,946,925

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