Q: What are the factor combinations of the number 24,261,839?

 A:
Positive:   1 x 242618397 x 346597717 x 142716767 x 362117119 x 203881179 x 135541289 x 83951469 x 517311139 x 213011253 x 193632023 x 119933043 x 7973
Negative: -1 x -24261839-7 x -3465977-17 x -1427167-67 x -362117-119 x -203881-179 x -135541-289 x -83951-469 x -51731-1139 x -21301-1253 x -19363-2023 x -11993-3043 x -7973


How do I find the factor combinations of the number 24,261,839?

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 24,261,839, 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 24,261,839
-1 -24,261,839

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 24,261,839.

Example:
1 x 24,261,839 = 24,261,839
and
-1 x -24,261,839 = 24,261,839
Notice both answers equal 24,261,839

With that explanation out of the way, let's continue. Next, we take the number 24,261,839 and divide it by 2:

24,261,839 ÷ 2 = 12,130,919.5

If the quotient is a whole number, then 2 and 12,130,919.5 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 24,261,839
-1 -24,261,839

Now, we try dividing 24,261,839 by 3:

24,261,839 ÷ 3 = 8,087,279.6667

If the quotient is a whole number, then 3 and 8,087,279.6667 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 24,261,839
-1 -24,261,839

Let's try dividing by 4:

24,261,839 ÷ 4 = 6,065,459.75

If the quotient is a whole number, then 4 and 6,065,459.75 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 24,261,839
-1 24,261,839
Keep dividing by the next highest number until you cannot divide anymore.

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

1717671191792894691,1391,2532,0233,0437,97311,99319,36321,30151,73183,951135,541203,881362,1171,427,1673,465,97724,261,839
-1-7-17-67-119-179-289-469-1,139-1,253-2,023-3,043-7,973-11,993-19,363-21,301-51,731-83,951-135,541-203,881-362,117-1,427,167-3,465,977-24,261,839

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