Factors of 18? How to Find the Factors of 18 by Prime Factorization Method? (2024)

FAQs

Factors of 18? How to Find the Factors of 18 by Prime Factorization Method? ›

As 18 is an even composite number, it has more factors other than 1 and 18. Hence, the factors of 18 are 1, 2, 3, 6, 9 and 18, and its negative factors are -1, -2, -3, -6, -9 and -18. Factors of 18: 1, 2, 3, 6, 9 and 18. Prime Factorization of 18: 2 × 3 × 3 or 2 × 3².

Hence 18=2×3×3.

Answer and Explanation:

The prime factorization of 18 with exponents is 2 × 32. There are a few different ways of finding the prime factorization of a number.

Hence, the factors of 18 are 1, 2, 3, 6, 9 and 18, and its negative factors are -1, -2, -3, -6, -9 and -18. Factors of 18: 1, 2, 3, 6, 9 and 18. Prime Factorization of 18: 2 × 3 × 3 or 2 × 3².

Solution: The factors of 18 are 1, 2, 3, 6, 9 and 18.

Square Root of 18 - Calculation, Prime Factorisation and Long Division Method. The square root of 18 is represented as √18, which is equal to 3√2 in radical form and 4.24264068712 in decimal form. The square root of a number is a value that, when multiplied by itself, gives the original number.

Prime factorization of 18 and 24 is (2 × 3 × 3) and (2 × 2 × 2 × 3) respectively. As visible, 18 and 24 have common prime factors. Hence, the GCF of 18 and 24 is 2 × 3 = 6.

Prime factorization of 18 and 32 is (2 × 3 × 3) and (2 × 2 × 2 × 2 × 2) respectively. As visible, 18 and 32 have only one common prime factor i.e. 2. Hence, the GCF of 18 and 32 is 2.

Here are some multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, ... It's important not to confuse multiples with factors.

Prime factorization of 18 and 30 is (2 × 3 × 3) = 2¹ × 3² and (2 × 3 × 5) = 2¹ × 3¹ × 5¹ respectively. LCM of 18 and 30 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2¹ × 3² × 5¹ = 90. Hence, the LCM of 18 and 30 by prime factorization is 90.

What is the prime factorization method of 16 and 18? ›

Prime factorization of 16 and 18 is (2 × 2 × 2 × 2) = 2⁴ and (2 × 3 × 3) = 2¹ × 3² respectively. LCM of 16 and 18 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2. Hence, the LCM of 16 and 18 by prime factorization is 144.

The simplest algorithm to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, 5/5 = 1. Since we received the remainder, it cannot be further factorized.

Greatest Common Factor

To find the GCF, take the prime factorization of both numbers. Then write down the factors that they have in common. If they share more than one of the same factor (two 2's, for example), write them both down. Then multiply the factors they have in common.

The number 8 is a composite number, that is, it has more than two numbers as factors. To find the prime factors, first we will divide the number 8 by its smallest prime factor, that is, 2. So, the prime factorization of 8 = 2 × 2 × 2 or 2\( ^3 \).

Prime factorization of any number means to represent that number as a product of prime numbers. A prime number is a number that has exactly two factors, 1 and the number itself. For example, the prime factorization of 18 = 2 × 3 × 3. Here 2 and 3 are the prime factors of 18.

Basically, we branch out 18 into its prime factors. So, the prime factorization of 18 is 18= 2 × 3 × 3. A factor tree is not unique for a given number. Instead of expressing 18 as 2 × 9, we can express 18 as 3 × 6.