Q: What are the factor combinations of the number 24,125,915?

 A:
Positive:   1 x 241259155 x 482518311 x 219326519 x 126978555 x 43865395 x 253957209 x 1154351045 x 23087
Negative: -1 x -24125915-5 x -4825183-11 x -2193265-19 x -1269785-55 x -438653-95 x -253957-209 x -115435-1045 x -23087


How do I find the factor combinations of the number 24,125,915?

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 24,125,915, 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 24,125,915
-1 -24,125,915

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 24,125,915.

Example:
1 x 24,125,915 = 24,125,915
and
-1 x -24,125,915 = 24,125,915
Notice both answers equal 24,125,915

With that explanation out of the way, let's continue. Next, we take the number 24,125,915 and divide it by 2:

24,125,915 ÷ 2 = 12,062,957.5

If the quotient is a whole number, then 2 and 12,062,957.5 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 24,125,915
-1 -24,125,915

Now, we try dividing 24,125,915 by 3:

24,125,915 ÷ 3 = 8,041,971.6667

If the quotient is a whole number, then 3 and 8,041,971.6667 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 24,125,915
-1 -24,125,915

Let's try dividing by 4:

24,125,915 ÷ 4 = 6,031,478.75

If the quotient is a whole number, then 4 and 6,031,478.75 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 24,125,915
-1 24,125,915
Keep dividing by the next highest number until you cannot divide anymore.

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

15111955952091,04523,087115,435253,957438,6531,269,7852,193,2654,825,18324,125,915
-1-5-11-19-55-95-209-1,045-23,087-115,435-253,957-438,653-1,269,785-2,193,265-4,825,183-24,125,915

More Examples

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