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## What is 98 as a product of prime factors in index form?

The prime factorization of 98 is written as 2 × 7 × 7 or 2 × 72.

### How do you express 144 as a product of prime factors in index form?

The factors of composite number 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. 144 is a square number. The prime factorization of 144 is 2 × 2 × 2 × 2 × 3 × 3.

#### How do you express the product of prime factors?

Writing a Product of Prime Factors When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.

How do you express a number as a product of its prime factors?

When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.

How do you write 300 as a product of prime factors?

Prime factorization of 300 = 2 × 2 × 3 × 5 × 5 = 22 × 3 × 5.

## What is 96 as a product of prime factors?

Factors of 96 by Prime Factorization The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers.

### How is 140 expressed as a product of its prime factors?

In other words, prime numbers that can be multiplied to obtain the original number are called prime factors of a number. So, the prime factors of 140 are (2,5,7) and the product can be expressed as $140=2\times 2\times 5\times 7$.

#### When 429 is expressed as a product of its prime factors we get?

Solution: Since, the prime factors of 429 are 3, 11, 13. Therefore, the product of prime factors = 3 × 11 × 13 = 429.

What is the prime factorization of 96?

Prime Factorization refers to finding which prime numbers multiply together to form the original number. The prime factors of 96 thus obtained are written as 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31, where 2 and 3 are the prime numbers.

What are the prime factors of the number 96?

Prime factors of 96 : 2x2x2x2x2, 3 In number theory, the prime factors of a positive integer are the prime numbers that divide that integer exactly. The prime factorization of a positive integer is a list of the integer’s prime factors, together with their multiplicities; the process of determining these factors is called integer factorization.

## How to find the factors of 96 by division?

Prime factorisation means, finding the prime factors of a number. In this method, we divide the original number by prime numbers such as 2,3,5, etc., to generate them as a factors of 96. Thus, by prime factorising 96 we get; 96 = 2 × 2 × 2 × 2 × 2 × 3 = 25 × 31

### How to calculate the number of prime factors?

Start by testing each integer to see if and how often it divides 100 and the subsequent quotients evenly. The resulting set of factors will be prime since, for example, when 2 is exhausted all multiples of 2 are also exhausted. List the resulting prime factors as a sequence of multiples, 2 x 2 x 5 x 5 or as factors with exponents, 2 2 x 5 2 .