Prime Factors of 464

Steps to find Prime Factors of 464 by Division Method

To find the primefactors of 464 using the division method, follow these steps:

• Step 1. Start dividing 464 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 464, which is 2. Divide 464 by 2 to obtain the quotient (232).
  464 ÷ 2 = 232
• Step 3. Repeat step 1 with the obtained quotient (232).
  232 ÷ 2 = 116
  116 ÷ 2 = 58
  58 ÷ 2 = 29
  29 ÷ 29 = 1

So, the prime factorization of 464 is, 464 = 2 x 2 x 2 x 2 x 29.

Steps to find Prime Factors of 464 by Factor Tree Method

We can follow the same procedure using the factor tree of 464 as shown below:

So, the prime factorization of 464 is, 464 = 2 x 2 x 2 x 2 x 29.

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 464 are 2 x 2 x 2 x 2 x 29.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 464 but not a prime factor of 464.

Frequently Asked Questions

• Which is the smallest prime factor of 464?

  Smallest prime factor of 464 is 2.

• Is 464 a perfect square?

  No 464 is not a perfect square.

• What is the prime factorization of 464?

  Prime factorization of 464 is 2 x 2 x 2 x 2 x 29.

• What is prime factorization of 464 in exponential form?

  Prime factorization of 464 in exponential form is 2⁴ x 29.

• Is 464 a prime number or a composite number?

  464 is a composite number.

• Which is the largest prime factors of 464?

  The largest prime factor of 464 is 29.

• What is the product of all prime factors of 464?

  Prime factors of 464 are 2 x 2 x 2 x 2 x 29. Therefore, their product is 464.

• What numbers are the prime factors of 464?

  Prime factors of 464 are 2 , 2 , 2 , 2 , 29.

• Is there any even prime factor of 464?

  Yes there is a even prime factor of 464.