Q: What are the factor combinations of the number 24,405,115?

 A:
Positive:   1 x 244051155 x 48810237 x 348644517 x 143559535 x 69728985 x 287119119 x 205085595 x 41017
Negative: -1 x -24405115-5 x -4881023-7 x -3486445-17 x -1435595-35 x -697289-85 x -287119-119 x -205085-595 x -41017


How do I find the factor combinations of the number 24,405,115?

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 24,405,115, 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 24,405,115
-1 -24,405,115

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 24,405,115.

Example:
1 x 24,405,115 = 24,405,115
and
-1 x -24,405,115 = 24,405,115
Notice both answers equal 24,405,115

With that explanation out of the way, let's continue. Next, we take the number 24,405,115 and divide it by 2:

24,405,115 ÷ 2 = 12,202,557.5

If the quotient is a whole number, then 2 and 12,202,557.5 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 24,405,115
-1 -24,405,115

Now, we try dividing 24,405,115 by 3:

24,405,115 ÷ 3 = 8,135,038.3333

If the quotient is a whole number, then 3 and 8,135,038.3333 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 24,405,115
-1 -24,405,115

Let's try dividing by 4:

24,405,115 ÷ 4 = 6,101,278.75

If the quotient is a whole number, then 4 and 6,101,278.75 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 24,405,115
-1 24,405,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959541,017205,085287,119697,2891,435,5953,486,4454,881,02324,405,115
-1-5-7-17-35-85-119-595-41,017-205,085-287,119-697,289-1,435,595-3,486,445-4,881,023-24,405,115

More Examples

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