Q: What are the factor combinations of the number 24,511,555?

 A:
Positive:   1 x 245115555 x 49023111879 x 130452609 x 9395
Negative: -1 x -24511555-5 x -4902311-1879 x -13045-2609 x -9395


How do I find the factor combinations of the number 24,511,555?

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 24,511,555, 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 24,511,555
-1 -24,511,555

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 24,511,555.

Example:
1 x 24,511,555 = 24,511,555
and
-1 x -24,511,555 = 24,511,555
Notice both answers equal 24,511,555

With that explanation out of the way, let's continue. Next, we take the number 24,511,555 and divide it by 2:

24,511,555 ÷ 2 = 12,255,777.5

If the quotient is a whole number, then 2 and 12,255,777.5 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 24,511,555
-1 -24,511,555

Now, we try dividing 24,511,555 by 3:

24,511,555 ÷ 3 = 8,170,518.3333

If the quotient is a whole number, then 3 and 8,170,518.3333 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 24,511,555
-1 -24,511,555

Let's try dividing by 4:

24,511,555 ÷ 4 = 6,127,888.75

If the quotient is a whole number, then 4 and 6,127,888.75 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 24,511,555
-1 24,511,555
Keep dividing by the next highest number until you cannot divide anymore.

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

151,8792,6099,39513,0454,902,31124,511,555
-1-5-1,879-2,609-9,395-13,045-4,902,311-24,511,555

More Examples

Here are some more numbers to try:

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