Q: What are the factor combinations of the number 24,574,979?

 A:
Positive:   1 x 2457497911 x 223408913 x 189038317 x 1445587121 x 203099143 x 171853187 x 131417221 x 111199919 x 267411573 x 156232057 x 119472431 x 10109
Negative: -1 x -24574979-11 x -2234089-13 x -1890383-17 x -1445587-121 x -203099-143 x -171853-187 x -131417-221 x -111199-919 x -26741-1573 x -15623-2057 x -11947-2431 x -10109


How do I find the factor combinations of the number 24,574,979?

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 24,574,979, 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 24,574,979
-1 -24,574,979

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 24,574,979.

Example:
1 x 24,574,979 = 24,574,979
and
-1 x -24,574,979 = 24,574,979
Notice both answers equal 24,574,979

With that explanation out of the way, let's continue. Next, we take the number 24,574,979 and divide it by 2:

24,574,979 ÷ 2 = 12,287,489.5

If the quotient is a whole number, then 2 and 12,287,489.5 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 24,574,979
-1 -24,574,979

Now, we try dividing 24,574,979 by 3:

24,574,979 ÷ 3 = 8,191,659.6667

If the quotient is a whole number, then 3 and 8,191,659.6667 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 24,574,979
-1 -24,574,979

Let's try dividing by 4:

24,574,979 ÷ 4 = 6,143,744.75

If the quotient is a whole number, then 4 and 6,143,744.75 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 24,574,979
-1 24,574,979
Keep dividing by the next highest number until you cannot divide anymore.

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

11113171211431872219191,5732,0572,43110,10911,94715,62326,741111,199131,417171,853203,0991,445,5871,890,3832,234,08924,574,979
-1-11-13-17-121-143-187-221-919-1,573-2,057-2,431-10,109-11,947-15,623-26,741-111,199-131,417-171,853-203,099-1,445,587-1,890,383-2,234,089-24,574,979

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