Prime Factors of 487

Steps to find Prime Factors of 487 by Division Method

To find the primefactors of 487 using the division method, follow these steps:

• Step 1. Start dividing 487 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 487, which is 487. Divide 487 by 487 to obtain the quotient (1).
  487 ÷ 487 = 1
• Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 487 is, 487 = 487.

Steps to find Prime Factors of 487 by Factor Tree Method

We can follow the same procedure using the factor tree of 487 as shown below:

So, the prime factorization of 487 is, 487 = 487.

How do you define Prime Factors of a number?

Prime numbers, in mathematics are all those natural numbers greater than 1 that have exactly 2 factors which are 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 487 are 487.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number 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 487 but not a prime factor of 487.

Frequently Asked Questions

• Which is the smallest prime factor of 487?

  Smallest prime factor of 487 is 487.

• What are the factors of 487?

  Factors of 487 are 1 , 487.

• What is prime factorization of 487 in exponential form?

  Prime factorization of 487 in exponential form is 487.

• Is 487 a prime number or a composite number?

  487 is a prime number.

• Is 487 a prime number?

  true, 487 is a prime number.

• What is the sum of all prime factors of 487?

  Prime factors of 487 are 487. Therefore, their sum is 487.

• What is the product of all prime factors of 487?

  Prime factors of 487 are 487. Therefore, their product is 487.

• What numbers are the prime factors of 487?

  Prime factors of 487 are 487.

• What is the sum of all odd prime factors of 487?

  Prime factors of 487 are 487, out of which 487 are odd numbers. So, the sum of odd prime factors of 487 is 487 = 487.