The **factors of
3** are 1 and 3 i.e. F_{3} = {1, 3}. The factors of 3 are all
the numbers that can divide 3 without leaving a remainder. 3 is a prime number,
so it is divisible by 1 and 3 only.

We can check if these
numbers are factors of 3 by dividing 3 by each of them. If the result is a
whole number, then the number is a factor of 3. Let's do this for each of the
numbers listed above:

·
1 is a factor of 3
because 3 divided by 1 is 3.

·
3 is a factor of 3
because 3 divided by 3 is 1.

**Properties of the
Factors of 3**

The factors of 3 have
some interesting properties. One of the properties is that the sum of the
factors of 3 is equal to 4. We can see this by adding all the factors of 3
together:

1 + 3 = 4

Another property of
the factors of 3 is that the only prime factor of 3 is 3 itself.

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**Applications of the
Factors of 3**

The factors of 3 have
several applications in mathematics. One of the applications is in finding the
highest common factor (HCF) of two or more numbers. The HCF is the largest
factor that two or more numbers have in common. For example, to find the HCF of
3 and 6, we need to find the factors of both numbers and identify the largest
factor they have in common. The factors of 3 are 1, and 3. The factors of 6 are
1, 2, 3, and 6. The largest factor that they have in common is 3. Therefore,
the HCF of 3 and 6 is 3.

Another application of
the factors of 3 is in prime factorization. Prime factorization is the process
of expressing a number as the product of its prime factors. The prime factor of
3 is 3 since it is only the prime number that can divide 3 without leaving a
remainder. Therefore, we can express 3 as:

3 = 3

We can do prime
factorization by division method as given below,

Since 3 is a prime
number, there is no factor tree of 3.

**Conclusion**

The **factors of
3** are the numbers that can divide 3 without leaving a remainder. The
factors of 3 are 1 and 3. The factors of 3 have some interesting properties,
such as having a sum of 4. The factors of 3 have several applications in
mathematics, such as finding the highest common factor and prime factorization.

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