Q: What are the factor combinations of the number 24,331,175?

 A:
Positive:   1 x 243311755 x 486623511 x 221192525 x 97324755 x 442385103 x 236225275 x 88477515 x 47245859 x 283251133 x 214752575 x 94494295 x 5665
Negative: -1 x -24331175-5 x -4866235-11 x -2211925-25 x -973247-55 x -442385-103 x -236225-275 x -88477-515 x -47245-859 x -28325-1133 x -21475-2575 x -9449-4295 x -5665


How do I find the factor combinations of the number 24,331,175?

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 24,331,175, 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 24,331,175
-1 -24,331,175

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 24,331,175.

Example:
1 x 24,331,175 = 24,331,175
and
-1 x -24,331,175 = 24,331,175
Notice both answers equal 24,331,175

With that explanation out of the way, let's continue. Next, we take the number 24,331,175 and divide it by 2:

24,331,175 ÷ 2 = 12,165,587.5

If the quotient is a whole number, then 2 and 12,165,587.5 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 24,331,175
-1 -24,331,175

Now, we try dividing 24,331,175 by 3:

24,331,175 ÷ 3 = 8,110,391.6667

If the quotient is a whole number, then 3 and 8,110,391.6667 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 24,331,175
-1 -24,331,175

Let's try dividing by 4:

24,331,175 ÷ 4 = 6,082,793.75

If the quotient is a whole number, then 4 and 6,082,793.75 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 24,331,175
-1 24,331,175
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551032755158591,1332,5754,2955,6659,44921,47528,32547,24588,477236,225442,385973,2472,211,9254,866,23524,331,175
-1-5-11-25-55-103-275-515-859-1,133-2,575-4,295-5,665-9,449-21,475-28,325-47,245-88,477-236,225-442,385-973,247-2,211,925-4,866,235-24,331,175

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