Prime Factors of 1463

Steps to find Prime Factors of 1463 by Division Method

To find the primefactors of 1463 using the division method, follow these steps:

• Step 1. Start dividing 1463 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 1463, which is 7. Divide 1463 by 7 to obtain the quotient (209).
  1463 ÷ 7 = 209
• Step 3. Repeat step 1 with the obtained quotient (209).
  209 ÷ 11 = 19
  19 ÷ 19 = 1

So, the prime factorization of 1463 is, 1463 = 7 x 11 x 19.

Steps to find Prime Factors of 1463 by Factor Tree Method

We can follow the same procedure using the factor tree of 1463 as shown below:

So, the prime factorization of 1463 is, 1463 = 7 x 11 x 19.

What does Prime factor in mathematics mean?

Prime numbers, in mathematics are all those whole numbers greater than 1 having exactly two divisors that is 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 1463 are 7 x 11 x 19.

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 1463 but not a prime factor of 1463.

Frequently Asked Questions

• Which is the smallest prime factor of 1463?

  Smallest prime factor of 1463 is 7.

• What are the factors of 1463?

  Factors of 1463 are 1 , 7 , 11 , 19 , 77 , 133 , 209 , 1463.

• What is prime factorization of 1463 in exponential form?

  Prime factorization of 1463 in exponential form is 7 x 11 x 19.

• Is 1463 a prime number or a composite number?

  1463 is a composite number.

• Is 1463 a prime number?

  false, 1463 is not a prime number.

• What is the sum of all prime factors of 1463?

  Prime factors of 1463 are 7 x 11 x 19. Therefore, their sum is 37.

• What is the product of all prime factors of 1463?

  Prime factors of 1463 are 7 x 11 x 19. Therefore, their product is 1463.

• What numbers are the prime factors of 1463?

  Prime factors of 1463 are 7 , 11 , 19.

• What is the sum of all odd prime factors of 1463?

  Prime factors of 1463 are 7 , 11 , 19, out of which 7 , 11 , 19 are odd numbers. So, the sum of odd prime factors of 1463 is 7 + 11 + 19 = 37.