What is Prime Factorization Method?

The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

How do you find the prime factors of a number?

Divide the number given with the smallest prime numbers and continue the process until you end up with 1.

What are the Factors of 420?

Factors of 420 are the numbers that can divide 420 and leaves a remainder zero. Factors include 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

What is Prime Factorization Method?

The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

How do you find the prime factors of a number?

Divide the number given with the smallest prime numbers and continue the process until you end up with 1.

What are the Factors of 420?

Factors of 420 are the numbers that can divide 420 and leaves a remainder zero. Factors include 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420.

Prime Factors of 420

Q: What are the Prime Factors of 420?

Prime Factors of 420 are 7, 3, 5, 2, and usually expressed as 2 x 2 x 3 x 5 x 7.

Created By : Bhagya
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Find the prime factors of 420 easily by utilising our free Prime Factors Calculator. The prime factors of 420 are the list of prime numbers when multiplied giving the product as . Two simple methods to find prime factors are trial division and prime decomposition. Go through this page to know how to find prime factors(420).

Prime Decomposition of 420 | Factor Tree of 420

The Prime Factors of 25 are all the prime numbers used to divide in the Prime Factor Tree. You can have a look below to have a better understanding of this :

	420

2		210

	2		105

		3		35

			5		7

Refer to Factor Tree of 420 to know more details like how to draw the factor tree for the number.

Trial Division of 420

The easiest method to find the prime factors of a number is trial division. In this method, we have to try division of the given composite prime number 420 by the prime number, and check the number that is dividing equally and how many times.
Here,

420 ÷ 210 = 2

210 ÷ 105 = 2

105 ÷ 35 = 3

35 ÷ 7 = 5

7 ÷ 1 = 7

So here he prime factorisation of 420 = 2 x 2 x 3 x 5 x 7 = 2² x 3¹ x 5¹ x 7¹

Prime Factorization Calculations

Here are examples of Prime Factorization calculations.

How to find the Prime Factors of 420 ?

Given number is 420

The prime factors of 420 can be found via trial division or prime decomposition or factor tree method.

Prime Factorization of 420 refers to the process of determining the Prime Factors of 420. To find the Prime Factors of 420, divide 420 by the smallest prime number. Then, take the result and divide it by the smallest prime number. Repeat this process until you have 1.

The prime factors of 420 are 2 x 2 x 3 x 5 x 7.

FAQs on Finding the Prime Factors for 420

1. What are the Prime Factors of 420 ?

Answer: Prime Factors of 420 are 2 x 2 x 3 x 5 x 7

2. How many prime factors does 420 have ?

Answer: 420 have 4 prime factors.

3. What is the least prime factor of 420 ?

Answer: The least prime factor of 420 is 2.