Q: What are the factor combinations of the number 24,066,025?

 A:
Positive:   1 x 240660255 x 481320525 x 96264143 x 55967561 x 394525215 x 111935305 x 78905367 x 655751075 x 223871525 x 157811835 x 131152623 x 9175
Negative: -1 x -24066025-5 x -4813205-25 x -962641-43 x -559675-61 x -394525-215 x -111935-305 x -78905-367 x -65575-1075 x -22387-1525 x -15781-1835 x -13115-2623 x -9175


How do I find the factor combinations of the number 24,066,025?

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 24,066,025, 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 24,066,025
-1 -24,066,025

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 24,066,025.

Example:
1 x 24,066,025 = 24,066,025
and
-1 x -24,066,025 = 24,066,025
Notice both answers equal 24,066,025

With that explanation out of the way, let's continue. Next, we take the number 24,066,025 and divide it by 2:

24,066,025 ÷ 2 = 12,033,012.5

If the quotient is a whole number, then 2 and 12,033,012.5 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 24,066,025
-1 -24,066,025

Now, we try dividing 24,066,025 by 3:

24,066,025 ÷ 3 = 8,022,008.3333

If the quotient is a whole number, then 3 and 8,022,008.3333 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 24,066,025
-1 -24,066,025

Let's try dividing by 4:

24,066,025 ÷ 4 = 6,016,506.25

If the quotient is a whole number, then 4 and 6,016,506.25 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 24,066,025
-1 24,066,025
Keep dividing by the next highest number until you cannot divide anymore.

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

152543612153053671,0751,5251,8352,6239,17513,11515,78122,38765,57578,905111,935394,525559,675962,6414,813,20524,066,025
-1-5-25-43-61-215-305-367-1,075-1,525-1,835-2,623-9,175-13,115-15,781-22,387-65,575-78,905-111,935-394,525-559,675-962,641-4,813,205-24,066,025

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