Q: What are the factor combinations of the number 24,727,235?

 A:
Positive:   1 x 247272355 x 494544713 x 190209565 x 380419169 x 146315845 x 292632197 x 112552251 x 10985
Negative: -1 x -24727235-5 x -4945447-13 x -1902095-65 x -380419-169 x -146315-845 x -29263-2197 x -11255-2251 x -10985


How do I find the factor combinations of the number 24,727,235?

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 24,727,235, 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 24,727,235
-1 -24,727,235

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 24,727,235.

Example:
1 x 24,727,235 = 24,727,235
and
-1 x -24,727,235 = 24,727,235
Notice both answers equal 24,727,235

With that explanation out of the way, let's continue. Next, we take the number 24,727,235 and divide it by 2:

24,727,235 ÷ 2 = 12,363,617.5

If the quotient is a whole number, then 2 and 12,363,617.5 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 24,727,235
-1 -24,727,235

Now, we try dividing 24,727,235 by 3:

24,727,235 ÷ 3 = 8,242,411.6667

If the quotient is a whole number, then 3 and 8,242,411.6667 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 24,727,235
-1 -24,727,235

Let's try dividing by 4:

24,727,235 ÷ 4 = 6,181,808.75

If the quotient is a whole number, then 4 and 6,181,808.75 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 24,727,235
-1 24,727,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651698452,1972,25110,98511,25529,263146,315380,4191,902,0954,945,44724,727,235
-1-5-13-65-169-845-2,197-2,251-10,985-11,255-29,263-146,315-380,419-1,902,095-4,945,447-24,727,235

More Examples

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