Q: What are the factor combinations of the number 24,892,483?

 A:
Positive:   1 x 248924837 x 355606911 x 226295377 x 323279121 x 205723847 x 29389
Negative: -1 x -24892483-7 x -3556069-11 x -2262953-77 x -323279-121 x -205723-847 x -29389


How do I find the factor combinations of the number 24,892,483?

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 24,892,483, 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 24,892,483
-1 -24,892,483

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 24,892,483.

Example:
1 x 24,892,483 = 24,892,483
and
-1 x -24,892,483 = 24,892,483
Notice both answers equal 24,892,483

With that explanation out of the way, let's continue. Next, we take the number 24,892,483 and divide it by 2:

24,892,483 ÷ 2 = 12,446,241.5

If the quotient is a whole number, then 2 and 12,446,241.5 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 24,892,483
-1 -24,892,483

Now, we try dividing 24,892,483 by 3:

24,892,483 ÷ 3 = 8,297,494.3333

If the quotient is a whole number, then 3 and 8,297,494.3333 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 24,892,483
-1 -24,892,483

Let's try dividing by 4:

24,892,483 ÷ 4 = 6,223,120.75

If the quotient is a whole number, then 4 and 6,223,120.75 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 24,892,483
-1 24,892,483
Keep dividing by the next highest number until you cannot divide anymore.

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

17117712184729,389205,723323,2792,262,9533,556,06924,892,483
-1-7-11-77-121-847-29,389-205,723-323,279-2,262,953-3,556,069-24,892,483

More Examples

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