Q: What are the factor combinations of the number 24,030,041?

 A:
Positive:   1 x 240300417 x 343286319 x 126473949 x 49040953 x 453397133 x 180677371 x 64771487 x 49343931 x 258111007 x 238632597 x 92533409 x 7049
Negative: -1 x -24030041-7 x -3432863-19 x -1264739-49 x -490409-53 x -453397-133 x -180677-371 x -64771-487 x -49343-931 x -25811-1007 x -23863-2597 x -9253-3409 x -7049


How do I find the factor combinations of the number 24,030,041?

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 24,030,041, 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 24,030,041
-1 -24,030,041

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 24,030,041.

Example:
1 x 24,030,041 = 24,030,041
and
-1 x -24,030,041 = 24,030,041
Notice both answers equal 24,030,041

With that explanation out of the way, let's continue. Next, we take the number 24,030,041 and divide it by 2:

24,030,041 ÷ 2 = 12,015,020.5

If the quotient is a whole number, then 2 and 12,015,020.5 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 24,030,041
-1 -24,030,041

Now, we try dividing 24,030,041 by 3:

24,030,041 ÷ 3 = 8,010,013.6667

If the quotient is a whole number, then 3 and 8,010,013.6667 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 24,030,041
-1 -24,030,041

Let's try dividing by 4:

24,030,041 ÷ 4 = 6,007,510.25

If the quotient is a whole number, then 4 and 6,007,510.25 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 24,030,041
-1 24,030,041
Keep dividing by the next highest number until you cannot divide anymore.

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

171949531333714879311,0072,5973,4097,0499,25323,86325,81149,34364,771180,677453,397490,4091,264,7393,432,86324,030,041
-1-7-19-49-53-133-371-487-931-1,007-2,597-3,409-7,049-9,253-23,863-25,811-49,343-64,771-180,677-453,397-490,409-1,264,739-3,432,863-24,030,041

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