Q: What are the factor combinations of the number 24,077,225?

 A:
Positive:   1 x 240772255 x 481544525 x 96308973 x 32982579 x 304775167 x 144175365 x 65965395 x 60955835 x 288351825 x 131931975 x 121914175 x 5767
Negative: -1 x -24077225-5 x -4815445-25 x -963089-73 x -329825-79 x -304775-167 x -144175-365 x -65965-395 x -60955-835 x -28835-1825 x -13193-1975 x -12191-4175 x -5767


How do I find the factor combinations of the number 24,077,225?

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 24,077,225, 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 24,077,225
-1 -24,077,225

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 24,077,225.

Example:
1 x 24,077,225 = 24,077,225
and
-1 x -24,077,225 = 24,077,225
Notice both answers equal 24,077,225

With that explanation out of the way, let's continue. Next, we take the number 24,077,225 and divide it by 2:

24,077,225 ÷ 2 = 12,038,612.5

If the quotient is a whole number, then 2 and 12,038,612.5 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 24,077,225
-1 -24,077,225

Now, we try dividing 24,077,225 by 3:

24,077,225 ÷ 3 = 8,025,741.6667

If the quotient is a whole number, then 3 and 8,025,741.6667 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 24,077,225
-1 -24,077,225

Let's try dividing by 4:

24,077,225 ÷ 4 = 6,019,306.25

If the quotient is a whole number, then 4 and 6,019,306.25 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 24,077,225
-1 24,077,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152573791673653958351,8251,9754,1755,76712,19113,19328,83560,95565,965144,175304,775329,825963,0894,815,44524,077,225
-1-5-25-73-79-167-365-395-835-1,825-1,975-4,175-5,767-12,191-13,193-28,835-60,955-65,965-144,175-304,775-329,825-963,089-4,815,445-24,077,225

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