Q: What are the factor combinations of the number 24,600,323?

 A:
Positive:   1 x 2460032311 x 223639329 x 84828767 x 367169319 x 77117737 x 333791151 x 213731943 x 12661
Negative: -1 x -24600323-11 x -2236393-29 x -848287-67 x -367169-319 x -77117-737 x -33379-1151 x -21373-1943 x -12661


How do I find the factor combinations of the number 24,600,323?

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 24,600,323, 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 24,600,323
-1 -24,600,323

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 24,600,323.

Example:
1 x 24,600,323 = 24,600,323
and
-1 x -24,600,323 = 24,600,323
Notice both answers equal 24,600,323

With that explanation out of the way, let's continue. Next, we take the number 24,600,323 and divide it by 2:

24,600,323 ÷ 2 = 12,300,161.5

If the quotient is a whole number, then 2 and 12,300,161.5 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 24,600,323
-1 -24,600,323

Now, we try dividing 24,600,323 by 3:

24,600,323 ÷ 3 = 8,200,107.6667

If the quotient is a whole number, then 3 and 8,200,107.6667 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 24,600,323
-1 -24,600,323

Let's try dividing by 4:

24,600,323 ÷ 4 = 6,150,080.75

If the quotient is a whole number, then 4 and 6,150,080.75 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 24,600,323
-1 24,600,323
Keep dividing by the next highest number until you cannot divide anymore.

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

11129673197371,1511,94312,66121,37333,37977,117367,169848,2872,236,39324,600,323
-1-11-29-67-319-737-1,151-1,943-12,661-21,373-33,379-77,117-367,169-848,287-2,236,393-24,600,323

More Examples

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