Prime Factors of 70

Steps to find Prime Factors of 70 by Division Method

To find the primefactors of 70 using the division method, follow these steps:

• Step 1. Start dividing 70 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 70, which is 2. Divide 70 by 2 to obtain the quotient (35).
  70 ÷ 2 = 35
• Step 3. Repeat step 1 with the obtained quotient (35).
  35 ÷ 5 = 7
  7 ÷ 7 = 1

So, the prime factorization of 70 is, 70 = 2 x 5 x 7.

Steps to find Prime Factors of 70 by Factor Tree Method

We can follow the same procedure using the factor tree of 70 as shown below:

So, the prime factorization of 70 is, 70 = 2 x 5 x 7.

Definition of Prime Factors?

In mathematics, prime numbers are defined as all those whole numbers greater than 1 that have only two factors, i.e. 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 70 are 2 x 5 x 7.

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 70 but not a prime factor of 70.

Frequently Asked Questions

• Which is the smallest prime factor of 70?

  Smallest prime factor of 70 is 2.

• Is 70 a perfect square?

  No 70 is not a perfect square.

• What is the prime factorization of 70?

  Prime factorization of 70 is 2 x 5 x 7.

• What are the factors of 70?

  Factors of 70 are 1 , 2 , 5 , 7 , 10 , 14 , 35 , 70.

• What is the product of all prime factors of 70?

  Prime factors of 70 are 2 x 5 x 7. Therefore, their product is 70.

• What numbers are the prime factors of 70?

  Prime factors of 70 are 2 , 5 , 7.

• What is the sum of all odd prime factors of 70?

  Prime factors of 70 are 2 , 5 , 7, out of which 5 , 7 are odd numbers. So, the sum of odd prime factors of 70 is 5 + 7 = 12.

• Is there any even prime factor of 70?

  Yes there is a even prime factor of 70.

• What is the product of all odd prime factors of 70?

  Prime factors of 70 are 2 , 5 , 7, out of which 5 , 7 are odd numbers. So, the product of odd prime factors of 70 is 5 x 7 = 35.