Q: What are the factor combinations of the number 14,117,225?

 A:
Positive:   1 x 141172255 x 282344517 x 83042525 x 56468959 x 23927585 x 166085295 x 47855425 x 33217563 x 250751003 x 140751475 x 95712815 x 5015
Negative: -1 x -14117225-5 x -2823445-17 x -830425-25 x -564689-59 x -239275-85 x -166085-295 x -47855-425 x -33217-563 x -25075-1003 x -14075-1475 x -9571-2815 x -5015


How do I find the factor combinations of the number 14,117,225?

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 14,117,225, 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 14,117,225
-1 -14,117,225

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 14,117,225.

Example:
1 x 14,117,225 = 14,117,225
and
-1 x -14,117,225 = 14,117,225
Notice both answers equal 14,117,225

With that explanation out of the way, let's continue. Next, we take the number 14,117,225 and divide it by 2:

14,117,225 ÷ 2 = 7,058,612.5

If the quotient is a whole number, then 2 and 7,058,612.5 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 14,117,225
-1 -14,117,225

Now, we try dividing 14,117,225 by 3:

14,117,225 ÷ 3 = 4,705,741.6667

If the quotient is a whole number, then 3 and 4,705,741.6667 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 14,117,225
-1 -14,117,225

Let's try dividing by 4:

14,117,225 ÷ 4 = 3,529,306.25

If the quotient is a whole number, then 4 and 3,529,306.25 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 14,117,225
-1 14,117,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15172559852954255631,0031,4752,8155,0159,57114,07525,07533,21747,855166,085239,275564,689830,4252,823,44514,117,225
-1-5-17-25-59-85-295-425-563-1,003-1,475-2,815-5,015-9,571-14,075-25,075-33,217-47,855-166,085-239,275-564,689-830,425-2,823,445-14,117,225

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