Q: What are the factor combinations of the number 24,105,011?

 A:
Positive:   1 x 241050117 x 344357331 x 77758149 x 491939217 x 111083343 x 702771519 x 158692267 x 10633
Negative: -1 x -24105011-7 x -3443573-31 x -777581-49 x -491939-217 x -111083-343 x -70277-1519 x -15869-2267 x -10633


How do I find the factor combinations of the number 24,105,011?

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 24,105,011, 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 24,105,011
-1 -24,105,011

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 24,105,011.

Example:
1 x 24,105,011 = 24,105,011
and
-1 x -24,105,011 = 24,105,011
Notice both answers equal 24,105,011

With that explanation out of the way, let's continue. Next, we take the number 24,105,011 and divide it by 2:

24,105,011 ÷ 2 = 12,052,505.5

If the quotient is a whole number, then 2 and 12,052,505.5 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 24,105,011
-1 -24,105,011

Now, we try dividing 24,105,011 by 3:

24,105,011 ÷ 3 = 8,035,003.6667

If the quotient is a whole number, then 3 and 8,035,003.6667 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 24,105,011
-1 -24,105,011

Let's try dividing by 4:

24,105,011 ÷ 4 = 6,026,252.75

If the quotient is a whole number, then 4 and 6,026,252.75 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 24,105,011
-1 24,105,011
Keep dividing by the next highest number until you cannot divide anymore.

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

1731492173431,5192,26710,63315,86970,277111,083491,939777,5813,443,57324,105,011
-1-7-31-49-217-343-1,519-2,267-10,633-15,869-70,277-111,083-491,939-777,581-3,443,573-24,105,011

More Examples

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