Answer Expert Approved21 has four components, 25 has three, and both 23 and 19 are prime numbers (with **two factors**). The number 21 has the most components.

18 and 21 have the variables 1, 2, 3, 6, 9, 18 and 1, 3, 7, 21, respectively.

The fact that these numbers are variable indicates that they can't be divided by anything other than 0 or themselves. This means that they aren't factors.

Numbers that are factors of 18 and 21 will also be factors of any number multiplied by either one of them. For example, if you multiply 18 by 3, it will give you 54. And if you multiply 21 by 3, it will also give you 54. So, 54 is a factor of both 18 and 21.

Furthermore, letters after the decimal point of a fraction will not change **its value**. So, 0.18 = 0.21 - this means that the value of the fraction remains the same whether I write it as 0.18 or 0.21. Again, this means that 60 is a factor of both 0.18 and 0.21.

Finally, there are only two ways to divide by zero. If you try to divide by zero using regular division (i.e., /), then the result is considered undefined.

2. When you list the components of each number, you will notice that 2 is the biggest number that 14, 22, and 26 are split into. So each number is divided by 2 and the remainder is used as a component of the number.

3. This means that the greatest common divisor of **these numbers** is 2. It is important to note that this does not mean that these numbers can be divided by 2 and still remain whole. For example, 14 cannot be divided by 2 without leaving a remainder because it is divided into **four parts** - 7 and 7. However, since 2 is the only number that can divide all three of these numbers evenly, it follows that they must be divided by 2.

4. Using this information, we can now calculate that the greatest common divisor of these numbers is: 42 = 2 x 21.

5. We can also see that these numbers have a very simple relationship with each other. We can say that each number is equal to its own gcd multiplied by the gcd of itself and another number. For example, let's say that we want to find the gcd of 77 and 55. First, we will divide both numbers by their gcd, which in **this case** is 11.

The 35 factors are 35, 7, 5, 1, and the 35 common factors are 7, 1, crossing the two sets above. The biggest element in **the intersecting factors** of 21 factors out of 35 is 7. As a result, the highest common factor between the ages of 21 and 35 is 7. This means that every other year people's age will divide by 7 and remain within the range of age 21 to 35.

For example, if someone was born on April 15th, they would be 23 years old. This divides by 7 which leaves us with 1. Because January 1st falls on a Monday this person would have started **the new year** at age 1 rather than age 0 because 0 is a negative number. If we repeat **this process** for every year up until the person reaches age 36 we can see that the common factor is still 7.

Here are some more examples: 37/7 = 5.8. 12/7 = 1.6. 20/7 = 2.9. 28/7 = 4.0. All of these numbers are inside the range of age 21 to 35 and their largest common factor is still 7. On the other hand, 41/7 = 5.5. 46/7 = 6.3. 49/7 = 6.9.

The prime factors for the number 26 are 2 and 13. 32 has the following prime factors: 2, 2, 2, 2, and 2. These numbers say that if you multiply all the way down to 2, then add 2 plus another two, you'll get 24, which is twice 16, the factorization of 32.

This means that there are two possibilities for every number from 24 on up: it can be divisible by 8, or not. If it's not, then we need to divide it by 8 and check if the result is still not zero; if it is, then we're done. If it is, then we need to repeat this process until we either run out of numbers or find a factor other than 8.

Since 24 is divisible by 8, we don't have to do any further division by 8; we just need to check if the result is zero or not. It isn't, so we're done. 32 is also not divisible by 4 or 9, so we don't have to check those cases.

Thus, the only possible values of 32 divided by some number from 1 to 7 are 4, 8, or 12. Since 4 is not in our list of **possible results**, this means that 32 is divisible by 12.

The number 28 is a composite number. 1 x 28 = 2 x 14 = 4 x 7 = 28 Factors of 28 are as follows: 1, 2, 4, 7, 14, 28. These are all prime numbers.

There are also two perfect squares less than or equal to 28: 17 and 42. These are the only integers less than or equal to 28 that are also perfect squares.

Within **this range**, the only other integer values are 25 and 53. Therefore, the only factors of 28 that can be used as exponents in an algebraic expression are 1, 2, 4, 7, 14, 28, 175, and 210.

Using **these factors**, we can expand r^28 into a sum: r^28 = (r^7)^(r^14) = (r^7)^(r^7) * (r^7)^(r^1). Equivalently, we can write this as **one single power** after another: r^28 = r^{56} = r^{35} = r^{21} = r^{7}. Using factorials, we can rewrite this as: (r^7)! = (r!)^7. Or, more generally, if n is a positive integer: (r^n)! = (r!)^n.