Q: What are the factor combinations of the number 24,646,027?

 A:
Positive:   1 x 246460277 x 352086129 x 849863167 x 147581203 x 121409727 x 339011169 x 210834843 x 5089
Negative: -1 x -24646027-7 x -3520861-29 x -849863-167 x -147581-203 x -121409-727 x -33901-1169 x -21083-4843 x -5089


How do I find the factor combinations of the number 24,646,027?

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 24,646,027, 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 24,646,027
-1 -24,646,027

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 24,646,027.

Example:
1 x 24,646,027 = 24,646,027
and
-1 x -24,646,027 = 24,646,027
Notice both answers equal 24,646,027

With that explanation out of the way, let's continue. Next, we take the number 24,646,027 and divide it by 2:

24,646,027 ÷ 2 = 12,323,013.5

If the quotient is a whole number, then 2 and 12,323,013.5 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 24,646,027
-1 -24,646,027

Now, we try dividing 24,646,027 by 3:

24,646,027 ÷ 3 = 8,215,342.3333

If the quotient is a whole number, then 3 and 8,215,342.3333 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 24,646,027
-1 -24,646,027

Let's try dividing by 4:

24,646,027 ÷ 4 = 6,161,506.75

If the quotient is a whole number, then 4 and 6,161,506.75 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 24,646,027
-1 24,646,027
Keep dividing by the next highest number until you cannot divide anymore.

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

17291672037271,1694,8435,08921,08333,901121,409147,581849,8633,520,86124,646,027
-1-7-29-167-203-727-1,169-4,843-5,089-21,083-33,901-121,409-147,581-849,863-3,520,861-24,646,027

More Examples

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