Q: What are the factor combinations of the number 14,817,425?

 A:
Positive:   1 x 148174255 x 29634857 x 211677525 x 59269735 x 423355175 x 84671227 x 65275373 x 397251135 x 130551589 x 93251865 x 79452611 x 5675
Negative: -1 x -14817425-5 x -2963485-7 x -2116775-25 x -592697-35 x -423355-175 x -84671-227 x -65275-373 x -39725-1135 x -13055-1589 x -9325-1865 x -7945-2611 x -5675


How do I find the factor combinations of the number 14,817,425?

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 14,817,425, 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 14,817,425
-1 -14,817,425

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 14,817,425.

Example:
1 x 14,817,425 = 14,817,425
and
-1 x -14,817,425 = 14,817,425
Notice both answers equal 14,817,425

With that explanation out of the way, let's continue. Next, we take the number 14,817,425 and divide it by 2:

14,817,425 ÷ 2 = 7,408,712.5

If the quotient is a whole number, then 2 and 7,408,712.5 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 14,817,425
-1 -14,817,425

Now, we try dividing 14,817,425 by 3:

14,817,425 ÷ 3 = 4,939,141.6667

If the quotient is a whole number, then 3 and 4,939,141.6667 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 14,817,425
-1 -14,817,425

Let's try dividing by 4:

14,817,425 ÷ 4 = 3,704,356.25

If the quotient is a whole number, then 4 and 3,704,356.25 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 14,817,425
-1 14,817,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351752273731,1351,5891,8652,6115,6757,9459,32513,05539,72565,27584,671423,355592,6972,116,7752,963,48514,817,425
-1-5-7-25-35-175-227-373-1,135-1,589-1,865-2,611-5,675-7,945-9,325-13,055-39,725-65,275-84,671-423,355-592,697-2,116,775-2,963,485-14,817,425

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