Prime factorization of 20 is (2024)

FAQs

Prime factorization of 20 is? ›

So, the prime factorization of 20 =2×2×5.

Factorisation is the process of reducing the bracket of a quadractic equation, instead of expanding the bracket and converting the equation to a product of factors which cannot be reduced further. For example, factorising (x²+5x+6) to (x+2) (x+3). Here, (x+2) (x+3) is factorisation of a polynomial (x²+5x+6).

The prime factorization of 20 using exponents is 2 2 ∗ 5 . First, we create the prime factorization for 20. Once we have the prime factorization, which is 2*2*5, we can group like factors. Finally, we write the number of times a factor repeats as its exponent.

The prime factorization method is written as a square root of a non-perfect square number in the simplest radical form. For example: 20 = 2 × 2 × 5. So, √20 = √2 × 2 × 5 = 2√5.

Multiplying the prime factorisations in the right-hand column together and simplifying, we get 20! =218×38×54×72×11×13×17×19.

So, the prime factorization of 20 =2×2×5.

The factors of 20 are 1, 2, 4, 5, 10 and 20.

So, the prime factors of 10 are 2 and 5, where 2 and 5 are the prime numbers. Prime factorisation of 10 is 2 × 5.

HCF of 20 and 21 by Prime Factorization

Prime factorization of 20 and 21 is (2 × 2 × 5) and (3 × 7) respectively. As visible, there are no common prime factors between 20 and 21, i.e. they are co-prime.

Prime factorization of 20 and 24 is (2 × 2 × 5) and (2 × 2 × 2 × 3) respectively. As visible, 20 and 24 have common prime factors.

What is the factorization 20 sums? ›

Factors of 20 are the list of integers that can be evenly divided into 20. It has a total of 6 factors of which 20 is the biggest factor and the positive factors of 20 are 1, 2, 4, 5, 10, and 20. The sum of all factors of 20 is 42.

Prime factorization of 20 and 25 is (2 × 2 × 5) and (5 × 5) respectively. As visible, 20 and 25 have only one common prime factor i.e. 5.

The square root of 20 can be simplified by using prime factorisation or long division method. In the simplest form, the √20 can be written as 2√5.

The factors of 10 and 20 are 1, 2, 5, 10 and 1, 2, 4, 5, 10, 20 respectively.