Q: What are the factor combinations of the number 24,085,855?

 A:
Positive:   1 x 240858555 x 481717117 x 141681547 x 51246585 x 283363235 x 102493799 x 301453995 x 6029
Negative: -1 x -24085855-5 x -4817171-17 x -1416815-47 x -512465-85 x -283363-235 x -102493-799 x -30145-3995 x -6029


How do I find the factor combinations of the number 24,085,855?

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 24,085,855, 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 24,085,855
-1 -24,085,855

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 24,085,855.

Example:
1 x 24,085,855 = 24,085,855
and
-1 x -24,085,855 = 24,085,855
Notice both answers equal 24,085,855

With that explanation out of the way, let's continue. Next, we take the number 24,085,855 and divide it by 2:

24,085,855 ÷ 2 = 12,042,927.5

If the quotient is a whole number, then 2 and 12,042,927.5 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 24,085,855
-1 -24,085,855

Now, we try dividing 24,085,855 by 3:

24,085,855 ÷ 3 = 8,028,618.3333

If the quotient is a whole number, then 3 and 8,028,618.3333 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 24,085,855
-1 -24,085,855

Let's try dividing by 4:

24,085,855 ÷ 4 = 6,021,463.75

If the quotient is a whole number, then 4 and 6,021,463.75 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 24,085,855
-1 24,085,855
Keep dividing by the next highest number until you cannot divide anymore.

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

151747852357993,9956,02930,145102,493283,363512,4651,416,8154,817,17124,085,855
-1-5-17-47-85-235-799-3,995-6,029-30,145-102,493-283,363-512,465-1,416,815-4,817,171-24,085,855

More Examples

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