Q: What are the factor combinations of the number 24,045,041?

 A:
Positive:   1 x 2404504143 x 55918761 x 39418189 x 270169103 x 2334472623 x 91673827 x 62834429 x 5429
Negative: -1 x -24045041-43 x -559187-61 x -394181-89 x -270169-103 x -233447-2623 x -9167-3827 x -6283-4429 x -5429


How do I find the factor combinations of the number 24,045,041?

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 24,045,041, 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 24,045,041
-1 -24,045,041

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 24,045,041.

Example:
1 x 24,045,041 = 24,045,041
and
-1 x -24,045,041 = 24,045,041
Notice both answers equal 24,045,041

With that explanation out of the way, let's continue. Next, we take the number 24,045,041 and divide it by 2:

24,045,041 ÷ 2 = 12,022,520.5

If the quotient is a whole number, then 2 and 12,022,520.5 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 24,045,041
-1 -24,045,041

Now, we try dividing 24,045,041 by 3:

24,045,041 ÷ 3 = 8,015,013.6667

If the quotient is a whole number, then 3 and 8,015,013.6667 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 24,045,041
-1 -24,045,041

Let's try dividing by 4:

24,045,041 ÷ 4 = 6,011,260.25

If the quotient is a whole number, then 4 and 6,011,260.25 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 24,045,041
-1 24,045,041
Keep dividing by the next highest number until you cannot divide anymore.

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

14361891032,6233,8274,4295,4296,2839,167233,447270,169394,181559,18724,045,041
-1-43-61-89-103-2,623-3,827-4,429-5,429-6,283-9,167-233,447-270,169-394,181-559,187-24,045,041

More Examples

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