Factors of 1154

The numbers that divide 1154 evenly are known as factors of 1154. A factor of 1154 is a number that divides the number without a remainder. The factors of 1154 are 1, 2, 577, and 1154.

Negative factors of 1154: -1, -2, -577, and -1154.

Prime factors of 1154: 2 and 577.

Prime factorization of 1154: 2 × 577.

The sum of factors of 1154: 1 + 2 + 577 + 1154 = 1734

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

1. Finding factors using multiplication
2. Finding factors using 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 1154. Identifying the numbers which are multiplied to get the number 1154 is the multiplication method.

Step 1: Multiply 1154 by 1, 1154 × 1 = 1154.

Step 2: Check for other numbers that give 1154 after multiplying: 2 × 577 = 1154

Therefore, the positive factor pairs of 1154 are: (1, 1154) and (2, 577). 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 a whole number as factors. Factors can be calculated by following a simple division method:

Step 1: Divide 1154 by 1, 1154 ÷ 1 = 1154.

Step 2: Continue dividing 1154 by the numbers until the remainder becomes 0.

1154 ÷ 1 = 1154

1154 ÷ 2 = 577

Therefore, the factors of 1154 are: 1, 2, 577, and 1154.

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

• Using prime factorization
• Using a factor tree

Using Prime Factorization: In this process, prime factors of 1154 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1154 ÷ 2 = 577

577 ÷ 577 = 1

The prime factors of 1154 are 2 and 577. The prime factorization of 1154 is: 2 × 577.

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

Step 1: Firstly, 1154 is divided by 2 to get 577. Here, 577 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 1154 is: 2 × 577.

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 1154: (1, 1154) and (2, 577).
• Negative factor pairs of 1154: (-1, -1154) and (-2, -577).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1154 are 1, 2, 577, and 1154.

• Prime factors: The factors which are prime numbers. For example, 2 and 577 are prime factors of 1154.

• 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 1154 are (1, 1154) and (2, 577).

• Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 1154 is 2 × 577.

• Multiple: A number that can be divided by another number without a remainder. For example, 1154 is a multiple of 2.