Q: What are the factor combinations of the number 14,532,025?

 A:
Positive:   1 x 145320255 x 290640517 x 85482525 x 58128131 x 46877585 x 170965155 x 93755425 x 34193527 x 27575775 x 187511103 x 131752635 x 5515
Negative: -1 x -14532025-5 x -2906405-17 x -854825-25 x -581281-31 x -468775-85 x -170965-155 x -93755-425 x -34193-527 x -27575-775 x -18751-1103 x -13175-2635 x -5515


How do I find the factor combinations of the number 14,532,025?

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 14,532,025, 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 14,532,025
-1 -14,532,025

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 14,532,025.

Example:
1 x 14,532,025 = 14,532,025
and
-1 x -14,532,025 = 14,532,025
Notice both answers equal 14,532,025

With that explanation out of the way, let's continue. Next, we take the number 14,532,025 and divide it by 2:

14,532,025 ÷ 2 = 7,266,012.5

If the quotient is a whole number, then 2 and 7,266,012.5 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 14,532,025
-1 -14,532,025

Now, we try dividing 14,532,025 by 3:

14,532,025 ÷ 3 = 4,844,008.3333

If the quotient is a whole number, then 3 and 4,844,008.3333 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 14,532,025
-1 -14,532,025

Let's try dividing by 4:

14,532,025 ÷ 4 = 3,633,006.25

If the quotient is a whole number, then 4 and 3,633,006.25 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 14,532,025
-1 14,532,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15172531851554255277751,1032,6355,51513,17518,75127,57534,19393,755170,965468,775581,281854,8252,906,40514,532,025
-1-5-17-25-31-85-155-425-527-775-1,103-2,635-5,515-13,175-18,751-27,575-34,193-93,755-170,965-468,775-581,281-854,825-2,906,405-14,532,025

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