Steps to find Prime Factors of 143 by Division Method

To find the primefactors of 143 using the division method, follow these steps:

  • Step 1. Start dividing 143 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 143, which is 11. Divide 143 by 11 to obtain the quotient (13).
    143 ÷ 11 = 13
  • Step 3. Repeat step 1 with the obtained quotient (13).
    13 ÷ 13 = 1

So, the prime factorization of 143 is, 143 = 11 x 13.

Steps to find Prime Factors of 143 by Factor Tree Method

We can follow the same procedure using the factor tree of 143 as shown below:

So, the prime factorization of 143 is, 143 = 11 x 13.

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 143 are 11 x 13.

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 143 but not a prime factor of 143.

Frequently Asked Questions

  • Which is the smallest prime factor of 143?

    Smallest prime factor of 143 is 11.

  • What are the factors of 143?

    Factors of 143 are 1 , 11 , 13 , 143.

  • What is prime factorization of 143 in exponential form?

    Prime factorization of 143 in exponential form is 11 x 13.

  • Is 143 a prime number or a composite number?

    143 is a composite number.

  • Is 143 a prime number?

    false, 143 is not a prime number.

  • What is the sum of all prime factors of 143?

    Prime factors of 143 are 11 x 13. Therefore, their sum is 24.

  • What is the product of all prime factors of 143?

    Prime factors of 143 are 11 x 13. Therefore, their product is 143.

  • What numbers are the prime factors of 143?

    Prime factors of 143 are 11 , 13.

  • What is the sum of all odd prime factors of 143?

    Prime factors of 143 are 11 , 13, out of which 11 , 13 are odd numbers. So, the sum of odd prime factors of 143 is 11 + 13 = 24.