Factors of 3

Factors of 3

Factors of a number are the numbers that divide evenly into that number without leaving a remainder. In the case of the number 3, the factors are 1 and 3.

Answer to Factors of 3

The factors of 3 are 1 and 3.

How to solve the problem: hints

1. The criteria for judging whether a number is a factor of 3 is that it should divide evenly into 3 without leaving a remainder.
2. List all the numbers: 1, 2, 3.
3. Use each number as a divisor to verify whether it is a factor. Use math expressions rather than words when possible.
4. Finally, we find that 1 and 3 are the factors of 3.

Step-by-step solution

To find the factors of 3, we can follow these steps:

1. Start by listing all the numbers: 1, 2, 3.
2. Use each number as a divisor and check if it divides evenly into 3.
   • 1 ÷ 3 = 0 remainder 1 (not a factor)
   • 2 ÷ 3 = 0 remainder 2 (not a factor)
   • 3 ÷ 3 = 1 remainder 0 (a factor)
3. We find that 1 and 3 are the factors of 3.

Pair Factors and Negative Pair Factors of Factors of 3

The pair factors of 3 are (1, 3) and (-1, -3). These pairs are obtained by multiplying the factors of 3 by -1.

Prime Factorisation

The prime factorization of a number is the expression of that number as a product of its prime factors. Since 3 is a prime number, its prime factorization is simply 3.

Solved examples

1. Find the factors of 3.

   • Factors of 3: 1, 3

2. Find the pair factors of 3.

   • Pair factors of 3: (1, 3), (-1, -3)

3. Find the prime factorization of 3.

   • Prime factorization of 3: 3

Factors in mathematics

In mathematics, factors are numbers that divide evenly into another number without leaving a remainder. They play an important role in various mathematical concepts, such as prime factorization, finding common factors, and solving equations.

Symbols used to represent factors

The symbol used to represent factors is ":". For example, we can write "3 : 1" to represent that 1 is a factor of 3.

Types of factors

There are two types of factors: positive factors and negative factors. Positive factors divide a number evenly and are greater than zero, while negative factors divide a number evenly and are less than zero.

FAQs on Factors of 3

Question: Factors of 3 The factors of 3 are 1 and 3.