Q: What are the factor combinations of the number 24,540,005?

 A:
Positive:   1 x 245400055 x 49080017 x 350571535 x 701143179 x 137095895 x 274191253 x 195853917 x 6265
Negative: -1 x -24540005-5 x -4908001-7 x -3505715-35 x -701143-179 x -137095-895 x -27419-1253 x -19585-3917 x -6265


How do I find the factor combinations of the number 24,540,005?

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 24,540,005, 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 24,540,005
-1 -24,540,005

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 24,540,005.

Example:
1 x 24,540,005 = 24,540,005
and
-1 x -24,540,005 = 24,540,005
Notice both answers equal 24,540,005

With that explanation out of the way, let's continue. Next, we take the number 24,540,005 and divide it by 2:

24,540,005 ÷ 2 = 12,270,002.5

If the quotient is a whole number, then 2 and 12,270,002.5 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 24,540,005
-1 -24,540,005

Now, we try dividing 24,540,005 by 3:

24,540,005 ÷ 3 = 8,180,001.6667

If the quotient is a whole number, then 3 and 8,180,001.6667 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 24,540,005
-1 -24,540,005

Let's try dividing by 4:

24,540,005 ÷ 4 = 6,135,001.25

If the quotient is a whole number, then 4 and 6,135,001.25 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 24,540,005
-1 24,540,005
Keep dividing by the next highest number until you cannot divide anymore.

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

157351798951,2533,9176,26519,58527,419137,095701,1433,505,7154,908,00124,540,005
-1-5-7-35-179-895-1,253-3,917-6,265-19,585-27,419-137,095-701,143-3,505,715-4,908,001-24,540,005

More Examples

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