Factors of 94

The numbers that divide 94 evenly are known as factors of 94. A factor of 94 is a number that divides the number without remainder. The factors of 94 are 1, 2, 47, and 94.

Negative factors of 94: -1, -2, -47, and -94.

Prime factors of 94: 2 and 47.

Prime factorization of 94: 2 × 47.

The sum of factors of 94: 1 + 2 + 47 + 94 = 144

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

• Finding factors using multiplication
• Finding factors using division method
• Prime factors and Prime factorization

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 94. Identifying the numbers which are multiplied to get the number 94 is the multiplication method.

Step 1: Multiply 94 by 1, 94 × 1 = 94.

Step 2: Check for other numbers that give 94 after multiplying 2 × 47 = 94

Therefore, the positive factor pairs of 94 are: (1, 94), (2, 47).

All these factor pairs result in 94. 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 94 by 1, 94 ÷ 1 = 94.

Step 2: Continue dividing 94 by the numbers until the remainder becomes 0.

94 ÷ 1 = 94

94 ÷ 2 = 47

Therefore, the factors of 94 are: 1, 2, 47, 94.

The factors can be found by dividing it 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 94 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

94 ÷ 2 = 47

47 ÷ 47 = 1

The prime factors of 94 are 2 and 47. The prime factorization of 94 is: 2 × 47.

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

Step 1: Firstly, 94 is divided by 2 to get 47.

Step 2: Now, 47 is a prime number and cannot be divided further. So, the prime factorization of 94 is: 2 × 47.

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 94: (1, 94), (2, 47).
• Negative factor pairs of 94: (-1, -94), (-2, -47).

• Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 94 are 1, 2, 47, and 94.

• Prime factors: The factors which are prime numbers. For example, 2 and 47 are prime factors of 94.

• 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 94 are (1, 94) and (2, 47).

• Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 94 is 2 × 47.

• Multiples: Numbers that can be divided by another number without a remainder. For example, 94 is a multiple of 2.