Q: What are the factor combinations of the number 24,525,599?

 A:
Positive:   1 x 245255997 x 350365719 x 129082161 x 402059133 x 184403427 x 574371159 x 211613023 x 8113
Negative: -1 x -24525599-7 x -3503657-19 x -1290821-61 x -402059-133 x -184403-427 x -57437-1159 x -21161-3023 x -8113


How do I find the factor combinations of the number 24,525,599?

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 24,525,599, 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 24,525,599
-1 -24,525,599

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 24,525,599.

Example:
1 x 24,525,599 = 24,525,599
and
-1 x -24,525,599 = 24,525,599
Notice both answers equal 24,525,599

With that explanation out of the way, let's continue. Next, we take the number 24,525,599 and divide it by 2:

24,525,599 ÷ 2 = 12,262,799.5

If the quotient is a whole number, then 2 and 12,262,799.5 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 24,525,599
-1 -24,525,599

Now, we try dividing 24,525,599 by 3:

24,525,599 ÷ 3 = 8,175,199.6667

If the quotient is a whole number, then 3 and 8,175,199.6667 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 24,525,599
-1 -24,525,599

Let's try dividing by 4:

24,525,599 ÷ 4 = 6,131,399.75

If the quotient is a whole number, then 4 and 6,131,399.75 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 24,525,599
-1 24,525,599
Keep dividing by the next highest number until you cannot divide anymore.

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

1719611334271,1593,0238,11321,16157,437184,403402,0591,290,8213,503,65724,525,599
-1-7-19-61-133-427-1,159-3,023-8,113-21,161-57,437-184,403-402,059-1,290,821-3,503,657-24,525,599

More Examples

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