Prime Factors of 702

Steps to find Prime Factors of 702 by Division Method

To find the primefactors of 702 using the division method, follow these steps:

• Step 1. Start dividing 702 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 702, which is 2. Divide 702 by 2 to obtain the quotient (351).
  702 ÷ 2 = 351
• Step 3. Repeat step 1 with the obtained quotient (351).
  351 ÷ 3 = 117
  117 ÷ 3 = 39
  39 ÷ 3 = 13
  13 ÷ 13 = 1

So, the prime factorization of 702 is, 702 = 2 x 3 x 3 x 3 x 13.

Steps to find Prime Factors of 702 by Factor Tree Method

We can follow the same procedure using the factor tree of 702 as shown below:

So, the prime factorization of 702 is, 702 = 2 x 3 x 3 x 3 x 13.

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 702 are 2 x 3 x 3 x 3 x 13.

Properties of Prime Factors

• Two prime factors of a given number are always coprime to each other.
• 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 702 but not a prime factor of 702.

Frequently Asked Questions

• Which is the smallest prime factor of 702?

  Smallest prime factor of 702 is 2.

• Is 702 a perfect square?

  No 702 is not a perfect square.

• What is the prime factorization of 702?

  Prime factorization of 702 is 2 x 3 x 3 x 3 x 13.

• What are the factors of 702?

  Factors of 702 are 1 , 2 , 3 , 6 , 9 , 13 , 18 , 26 , 27 , 39 , 54 , 78 , 117 , 234 , 351 , 702.

• What is the product of all prime factors of 702?

  Prime factors of 702 are 2 x 3 x 3 x 3 x 13. Therefore, their product is 702.

• What numbers are the prime factors of 702?

  Prime factors of 702 are 2 , 3 , 3 , 3 , 13.

• What is the sum of all odd prime factors of 702?

  Prime factors of 702 are 2 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 13 are odd numbers. So, the sum of odd prime factors of 702 is 3 + 3 + 3 + 13 = 22.

• Is there any even prime factor of 702?

  Yes there is a even prime factor of 702.

• What is the product of all odd prime factors of 702?

  Prime factors of 702 are 2 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 13 are odd numbers. So, the product of odd prime factors of 702 is 3 x 3 x 3 x 13 = 351.