Q: What are the factor combinations of the number 24,485,923?

 A:
Positive:   1 x 244859237 x 349798911 x 222599377 x 317999121 x 202363847 x 28909
Negative: -1 x -24485923-7 x -3497989-11 x -2225993-77 x -317999-121 x -202363-847 x -28909


How do I find the factor combinations of the number 24,485,923?

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 24,485,923, 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 24,485,923
-1 -24,485,923

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 24,485,923.

Example:
1 x 24,485,923 = 24,485,923
and
-1 x -24,485,923 = 24,485,923
Notice both answers equal 24,485,923

With that explanation out of the way, let's continue. Next, we take the number 24,485,923 and divide it by 2:

24,485,923 ÷ 2 = 12,242,961.5

If the quotient is a whole number, then 2 and 12,242,961.5 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 24,485,923
-1 -24,485,923

Now, we try dividing 24,485,923 by 3:

24,485,923 ÷ 3 = 8,161,974.3333

If the quotient is a whole number, then 3 and 8,161,974.3333 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 24,485,923
-1 -24,485,923

Let's try dividing by 4:

24,485,923 ÷ 4 = 6,121,480.75

If the quotient is a whole number, then 4 and 6,121,480.75 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 24,485,923
-1 24,485,923
Keep dividing by the next highest number until you cannot divide anymore.

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

17117712184728,909202,363317,9992,225,9933,497,98924,485,923
-1-7-11-77-121-847-28,909-202,363-317,999-2,225,993-3,497,989-24,485,923

More Examples

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