Q: What are the factor combinations of the number 24,589,915?

 A:
Positive:   1 x 245899155 x 49179837 x 351284535 x 70256949 x 501835167 x 147245245 x 100367601 x 40915835 x 294491169 x 210353005 x 81834207 x 5845
Negative: -1 x -24589915-5 x -4917983-7 x -3512845-35 x -702569-49 x -501835-167 x -147245-245 x -100367-601 x -40915-835 x -29449-1169 x -21035-3005 x -8183-4207 x -5845


How do I find the factor combinations of the number 24,589,915?

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 24,589,915, 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 24,589,915
-1 -24,589,915

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 24,589,915.

Example:
1 x 24,589,915 = 24,589,915
and
-1 x -24,589,915 = 24,589,915
Notice both answers equal 24,589,915

With that explanation out of the way, let's continue. Next, we take the number 24,589,915 and divide it by 2:

24,589,915 ÷ 2 = 12,294,957.5

If the quotient is a whole number, then 2 and 12,294,957.5 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 24,589,915
-1 -24,589,915

Now, we try dividing 24,589,915 by 3:

24,589,915 ÷ 3 = 8,196,638.3333

If the quotient is a whole number, then 3 and 8,196,638.3333 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 24,589,915
-1 -24,589,915

Let's try dividing by 4:

24,589,915 ÷ 4 = 6,147,478.75

If the quotient is a whole number, then 4 and 6,147,478.75 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 24,589,915
-1 24,589,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15735491672456018351,1693,0054,2075,8458,18321,03529,44940,915100,367147,245501,835702,5693,512,8454,917,98324,589,915
-1-5-7-35-49-167-245-601-835-1,169-3,005-4,207-5,845-8,183-21,035-29,449-40,915-100,367-147,245-501,835-702,569-3,512,845-4,917,983-24,589,915

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