Q: What are the factor combinations of the number 8,418,425?

 A:
Positive:   1 x 84184255 x 168368519 x 44307525 x 33673737 x 22752595 x 88615185 x 45505475 x 17723479 x 17575703 x 11975925 x 91012395 x 3515
Negative: -1 x -8418425-5 x -1683685-19 x -443075-25 x -336737-37 x -227525-95 x -88615-185 x -45505-475 x -17723-479 x -17575-703 x -11975-925 x -9101-2395 x -3515


How do I find the factor combinations of the number 8,418,425?

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 8,418,425, 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 8,418,425
-1 -8,418,425

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 8,418,425.

Example:
1 x 8,418,425 = 8,418,425
and
-1 x -8,418,425 = 8,418,425
Notice both answers equal 8,418,425

With that explanation out of the way, let's continue. Next, we take the number 8,418,425 and divide it by 2:

8,418,425 ÷ 2 = 4,209,212.5

If the quotient is a whole number, then 2 and 4,209,212.5 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 8,418,425
-1 -8,418,425

Now, we try dividing 8,418,425 by 3:

8,418,425 ÷ 3 = 2,806,141.6667

If the quotient is a whole number, then 3 and 2,806,141.6667 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 8,418,425
-1 -8,418,425

Let's try dividing by 4:

8,418,425 ÷ 4 = 2,104,606.25

If the quotient is a whole number, then 4 and 2,104,606.25 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 8,418,425
-1 8,418,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15192537951854754797039252,3953,5159,10111,97517,57517,72345,50588,615227,525336,737443,0751,683,6858,418,425
-1-5-19-25-37-95-185-475-479-703-925-2,395-3,515-9,101-11,975-17,575-17,723-45,505-88,615-227,525-336,737-443,075-1,683,685-8,418,425

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