Q: What are the factor combinations of the number 24,052,049?

 A:
Positive:   1 x 240520497 x 343600729 x 829381109 x 220661203 x 118483763 x 315231087 x 221273161 x 7609
Negative: -1 x -24052049-7 x -3436007-29 x -829381-109 x -220661-203 x -118483-763 x -31523-1087 x -22127-3161 x -7609


How do I find the factor combinations of the number 24,052,049?

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 24,052,049, 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 24,052,049
-1 -24,052,049

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 24,052,049.

Example:
1 x 24,052,049 = 24,052,049
and
-1 x -24,052,049 = 24,052,049
Notice both answers equal 24,052,049

With that explanation out of the way, let's continue. Next, we take the number 24,052,049 and divide it by 2:

24,052,049 ÷ 2 = 12,026,024.5

If the quotient is a whole number, then 2 and 12,026,024.5 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 24,052,049
-1 -24,052,049

Now, we try dividing 24,052,049 by 3:

24,052,049 ÷ 3 = 8,017,349.6667

If the quotient is a whole number, then 3 and 8,017,349.6667 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 24,052,049
-1 -24,052,049

Let's try dividing by 4:

24,052,049 ÷ 4 = 6,013,012.25

If the quotient is a whole number, then 4 and 6,013,012.25 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 24,052,049
-1 24,052,049
Keep dividing by the next highest number until you cannot divide anymore.

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

17291092037631,0873,1617,60922,12731,523118,483220,661829,3813,436,00724,052,049
-1-7-29-109-203-763-1,087-3,161-7,609-22,127-31,523-118,483-220,661-829,381-3,436,007-24,052,049

More Examples

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