Factors of 1142

The numbers that divide 1142 evenly are known as factors of 1142. A factor of 1142 is a number that divides the number without a remainder. The factors of 1142 are 1, 2, 571, and 1142.

Negative factors of 1142: -1, -2, -571, and -1142.

Prime factors of 1142: 2 and 571.

Prime factorization of 1142: 2 × 571.

The sum of factors of 1142: 1 + 2 + 571 + 1142 = 1716.

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 1142. Identifying the numbers which are multiplied to get the number 1142 is the multiplication method.

Step 1: Multiply 1142 by 1, 1142 × 1 = 1142.

Step 2: Check for other numbers that give 1142 after multiplying: 2 × 571 = 1142

Therefore, the positive factor pairs of 1142 are: (1, 1142) and (2, 571). For every positive factor, there is a negative factor.

Dividing the given numbers with 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 1142 by 1, 1142 ÷ 1 = 1142.

Step 2: Continue dividing 1142 by the numbers until the remainder becomes 0.

1142 ÷ 1 = 1142

1142 ÷ 2 = 571

Therefore, the factors of 1142 are: 1, 2, 571, 1142.

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, the prime factors of 1142 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

1142 ÷ 2 = 571

571 ÷ 571 = 1

The prime factors of 1142 are 2 and 571. The prime factorization of 1142 is: 2 × 571.

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

Step 1: Firstly, 1142 is divided by 2 to get 571.

Step 2: 571 is a prime number and cannot be divided further. So, the prime factorization of 1142 is: 2 × 571. 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 1142: (1, 1142) and (2, 571).
• Negative factor pairs of 1142: (-1, -1142) and (-2, -571).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1142 are 1, 2, 571, and 1142.

• Prime factors: The factors which are prime numbers. For example, 2 and 571 are prime factors of 1142.

• 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 1142 are (1, 1142) and (2, 571).

• Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1142 is 2 × 571.

• Multiple: A number that can be divided by another number without a remainder. For example, 1142 is a multiple of 2.