Prime Factors of 490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Find the prime factors of 490 easily by utilising our free Prime Factors Calculator. The prime factors of 490 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(490).
Prime Decomposition of 490 | Factor Tree of 490
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 :
| 490 | ||||||||||
| 2 | 245 | |||||||||
| 5 | 49 | |||||||||
| 7 | 7 | |||||||||
Refer to Factor Tree of 490 to know more details like how to draw the factor tree for the number.
Trial Division of 490
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 490 by the prime number, and check the number that is dividing equally and how many times.
Here,
490 ÷ 245 = 2
245 ÷ 49 = 5
49 ÷ 7 = 7
7 ÷ 1 = 7
So here he prime factorisation of 490 = 2 x 5 x 7 x 7 = 21 x 51 x 72
Prime Factorization Calculations
Here are examples of Prime Factorization calculations.
How to find the Prime Factors of 490 ?
Given number is 490
The prime factors of 490 can be found via trial division or prime decomposition or factor tree method.
Prime Factorization of 490 refers to the process of determining the Prime Factors of 490. To find the Prime Factors of 490, divide 490 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 490 are 2 x 5 x 7 x 7.
FAQs on Finding the Prime Factors for 490
1. What are the Prime Factors of 490 ?
Answer: Prime Factors of 490 are 2 x 5 x 7 x 7
2. How many prime factors does 490 have ?
Answer: 490 have 3 prime factors.
3. What is the least prime factor of 490 ?
Answer: The least prime factor of 490 is 2.