Q: What are the factor combinations of the number 24,211,555?

 A:
Positive:   1 x 242115555 x 4842311307 x 788651535 x 15773
Negative: -1 x -24211555-5 x -4842311-307 x -78865-1535 x -15773


How do I find the factor combinations of the number 24,211,555?

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 24,211,555, 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 24,211,555
-1 -24,211,555

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 24,211,555.

Example:
1 x 24,211,555 = 24,211,555
and
-1 x -24,211,555 = 24,211,555
Notice both answers equal 24,211,555

With that explanation out of the way, let's continue. Next, we take the number 24,211,555 and divide it by 2:

24,211,555 ÷ 2 = 12,105,777.5

If the quotient is a whole number, then 2 and 12,105,777.5 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 24,211,555
-1 -24,211,555

Now, we try dividing 24,211,555 by 3:

24,211,555 ÷ 3 = 8,070,518.3333

If the quotient is a whole number, then 3 and 8,070,518.3333 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 24,211,555
-1 -24,211,555

Let's try dividing by 4:

24,211,555 ÷ 4 = 6,052,888.75

If the quotient is a whole number, then 4 and 6,052,888.75 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 24,211,555
-1 24,211,555
Keep dividing by the next highest number until you cannot divide anymore.

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

153071,53515,77378,8654,842,31124,211,555
-1-5-307-1,535-15,773-78,865-4,842,311-24,211,555

More Examples

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