Factors of 142

The numbers that divide 142 evenly are known as factors of 142. A factor of 142 is a number that divides the number without a remainder. The factors of 142 are 1, 2, 71, and 142.

Negative factors of 142: -1, -2, -71, and -142

Prime factors of 142: 2 and 71.

Prime factorization of 142: 2 × 71.

The sum of factors of 142: 1 + 2 + 71 + 142 = 216

Factors can be found using different methods. Mentioned below are some commonly used methods:

1. Finding factors using multiplication
2. Finding factors using the division method
3. Prime factors and prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 142. Identifying the numbers which are multiplied to get the number 142 is the multiplication method.

Step 1: Multiply 142 by 1, 142 × 1 = 142.

Step 2: Check for other numbers that give 142 after multiplying: 2 × 71 = 142

Therefore, the positive factor pairs of 142 are: (1, 142) and (2, 71). For every positive factor, there is a negative factor.

Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method -

Step 1: Divide 142 by 1, 142 ÷ 1 = 142.

Step 2: Continue dividing 142 by the numbers until the remainder becomes 0.

142 ÷ 1 = 142

142 ÷ 2 = 71

Therefore, the factors of 142 are: 1, 2, 71, 142.

The factors can be found by dividing with prime numbers. We can find the prime factors using the following methods:

• Using prime factorization
• Using factor tree

Using Prime Factorization: In this process, prime factors of 142 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

142 ÷ 2 = 71

71 ÷ 71 = 1

The prime factors of 142 are 2 and 71. The prime factorization of 142 is: 2 × 71.

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -

Step 1: Firstly, 142 is divided by 2 to get 71.

Step 2: Now divide 71 by 71 to get 1. So, the prime factorization of 142 is: 2 × 71.

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

• Positive factor pairs of 142: (1, 142) and (2, 71).
• Negative factor pairs of 142: (-1, -142) and (-2, -71).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 142 are 1, 2, 71, and 142.

• Prime factors: The factors which are prime numbers. For example, 2 and 71 are prime factors of 142.

• Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 142 are (1, 142) and (2, 71).

• Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 142 is 2 × 71.

• Multiplication Method: A method to find factors by identifying pairs of numbers that multiply to give a specific number. For example, using multiplication to find factors of 142 like 2 × 71.