Q: What are the factor combinations of the number 3,009,425?

 A:
Positive:   1 x 30094255 x 60188517 x 17702525 x 12037773 x 4122585 x 3540597 x 31025365 x 8245425 x 7081485 x 62051241 x 24251649 x 1825
Negative: -1 x -3009425-5 x -601885-17 x -177025-25 x -120377-73 x -41225-85 x -35405-97 x -31025-365 x -8245-425 x -7081-485 x -6205-1241 x -2425-1649 x -1825


How do I find the factor combinations of the number 3,009,425?

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 3,009,425, 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 3,009,425
-1 -3,009,425

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 3,009,425.

Example:
1 x 3,009,425 = 3,009,425
and
-1 x -3,009,425 = 3,009,425
Notice both answers equal 3,009,425

With that explanation out of the way, let's continue. Next, we take the number 3,009,425 and divide it by 2:

3,009,425 ÷ 2 = 1,504,712.5

If the quotient is a whole number, then 2 and 1,504,712.5 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 3,009,425
-1 -3,009,425

Now, we try dividing 3,009,425 by 3:

3,009,425 ÷ 3 = 1,003,141.6667

If the quotient is a whole number, then 3 and 1,003,141.6667 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 3,009,425
-1 -3,009,425

Let's try dividing by 4:

3,009,425 ÷ 4 = 752,356.25

If the quotient is a whole number, then 4 and 752,356.25 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 3,009,425
-1 3,009,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1517257385973654254851,2411,6491,8252,4256,2057,0818,24531,02535,40541,225120,377177,025601,8853,009,425
-1-5-17-25-73-85-97-365-425-485-1,241-1,649-1,825-2,425-6,205-7,081-8,245-31,025-35,405-41,225-120,377-177,025-601,885-3,009,425

More Examples

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