Q: What are the factor combinations of the number 24,848,815?

 A:
Positive:   1 x 248488155 x 496976317 x 146169585 x 292339283 x 878051033 x 240551415 x 175614811 x 5165
Negative: -1 x -24848815-5 x -4969763-17 x -1461695-85 x -292339-283 x -87805-1033 x -24055-1415 x -17561-4811 x -5165


How do I find the factor combinations of the number 24,848,815?

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 24,848,815, 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 24,848,815
-1 -24,848,815

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 24,848,815.

Example:
1 x 24,848,815 = 24,848,815
and
-1 x -24,848,815 = 24,848,815
Notice both answers equal 24,848,815

With that explanation out of the way, let's continue. Next, we take the number 24,848,815 and divide it by 2:

24,848,815 ÷ 2 = 12,424,407.5

If the quotient is a whole number, then 2 and 12,424,407.5 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 24,848,815
-1 -24,848,815

Now, we try dividing 24,848,815 by 3:

24,848,815 ÷ 3 = 8,282,938.3333

If the quotient is a whole number, then 3 and 8,282,938.3333 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 24,848,815
-1 -24,848,815

Let's try dividing by 4:

24,848,815 ÷ 4 = 6,212,203.75

If the quotient is a whole number, then 4 and 6,212,203.75 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 24,848,815
-1 24,848,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852831,0331,4154,8115,16517,56124,05587,805292,3391,461,6954,969,76324,848,815
-1-5-17-85-283-1,033-1,415-4,811-5,165-17,561-24,055-87,805-292,339-1,461,695-4,969,763-24,848,815

More Examples

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