Q: What are the factor combinations of the number 13,230,025?

 A:
Positive:   1 x 132300255 x 264600525 x 52920131 x 42677543 x 307675155 x 85355215 x 61535397 x 33325775 x 170711075 x 123071333 x 99251985 x 6665
Negative: -1 x -13230025-5 x -2646005-25 x -529201-31 x -426775-43 x -307675-155 x -85355-215 x -61535-397 x -33325-775 x -17071-1075 x -12307-1333 x -9925-1985 x -6665


How do I find the factor combinations of the number 13,230,025?

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 13,230,025, 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 13,230,025
-1 -13,230,025

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 13,230,025.

Example:
1 x 13,230,025 = 13,230,025
and
-1 x -13,230,025 = 13,230,025
Notice both answers equal 13,230,025

With that explanation out of the way, let's continue. Next, we take the number 13,230,025 and divide it by 2:

13,230,025 ÷ 2 = 6,615,012.5

If the quotient is a whole number, then 2 and 6,615,012.5 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 13,230,025
-1 -13,230,025

Now, we try dividing 13,230,025 by 3:

13,230,025 ÷ 3 = 4,410,008.3333

If the quotient is a whole number, then 3 and 4,410,008.3333 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 13,230,025
-1 -13,230,025

Let's try dividing by 4:

13,230,025 ÷ 4 = 3,307,506.25

If the quotient is a whole number, then 4 and 3,307,506.25 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 13,230,025
-1 13,230,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152531431552153977751,0751,3331,9856,6659,92512,30717,07133,32561,53585,355307,675426,775529,2012,646,00513,230,025
-1-5-25-31-43-155-215-397-775-1,075-1,333-1,985-6,665-9,925-12,307-17,071-33,325-61,535-85,355-307,675-426,775-529,201-2,646,005-13,230,025

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