Prime Factors of 469

Steps to find Prime Factors of 469 by Division Method

To find the primefactors of 469 using the division method, follow these steps:

• Step 1. Start dividing 469 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 469, which is 7. Divide 469 by 7 to obtain the quotient (67).
  469 ÷ 7 = 67
• Step 3. Repeat step 1 with the obtained quotient (67).
  67 ÷ 67 = 1

So, the prime factorization of 469 is, 469 = 7 x 67.

Steps to find Prime Factors of 469 by Factor Tree Method

We can follow the same procedure using the factor tree of 469 as shown below:

So, the prime factorization of 469 is, 469 = 7 x 67.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 469 are 7 x 67.

Properties of Prime Factors

• Prime factors are the set of factors that are unique to the number given.
• 2 is the only even prime factor any number can have.
• Two prime factors are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 469 but not a prime factor of 469.

Frequently Asked Questions

• Which is the smallest prime factor of 469?

  Smallest prime factor of 469 is 7.

• Is 469 a perfect square?

  No 469 is not a perfect square.

• What is the prime factorization of 469?

  Prime factorization of 469 is 7 x 67.

• What are the factors of 469?

  Factors of 469 are 1 , 7 , 67 , 469.

• What is prime factorization of 469 in exponential form?

  Prime factorization of 469 in exponential form is 7 x 67.

• Is 469 a prime number or a composite number?

  469 is a composite number.

• Is 469 a prime number?

  false, 469 is not a prime number.

• How to find prime factorization of 469 easily?

  To find prime factorization of 469 easily you can refer to the steps given on this page step by step.

• Which is the largest prime factors of 469?

  The largest prime factor of 469 is 67.