# Prime Factors of 712

Prime Factors of 712 are 2, 2, 2, and 89

#### How to find prime factors of a number

 1.   Prime Factorization of 712 by Division Method 2.   Prime Factorization of 712 by Factor Tree Method 3.   Definition of Prime Factors 4.   Frequently Asked Questions

#### Steps to find Prime Factors of 712 by Division Method

To find the primefactors of 712 using the division method, follow these steps:

• Step 1. Start dividing 712 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 712, which is 2. Divide 712 by 2 to obtain the quotient (356).
712 ÷ 2 = 356
• Step 3. Repeat step 1 with the obtained quotient (356).
356 ÷ 2 = 178
178 ÷ 2 = 89
89 ÷ 89 = 1

So, the prime factorization of 712 is, 712 = 2 x 2 x 2 x 89.

#### Steps to find Prime Factors of 712 by Factor Tree Method

We can follow the same procedure using the factor tree of 712 as shown below:

So, the prime factorization of 712 is, 712 = 2 x 2 x 2 x 89.

#### 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 712 are 2 x 2 x 2 x 89.

#### Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• Any number can have only 1 even prime factor and that is number 2.
• Two prime factors are always coprime to each other.
• 1 is the factor of any given number, but 1 is neither a prime number nor a composite number. So, 1 is the factor of 712 but not a prime factor of 712.

#### Frequently Asked Questions

• Which is the smallest prime factor of 712?

Smallest prime factor of 712 is 2.

• Is 712 a perfect square?

No 712 is not a perfect square.

• What is the prime factorization of 712?

Prime factorization of 712 is 2 x 2 x 2 x 89.

• What is prime factorization of 712 in exponential form?

Prime factorization of 712 in exponential form is 23 x 89.

• Is 712 a prime number or a composite number?

712 is a composite number.

• Which is the largest prime factors of 712?

The largest prime factor of 712 is 89.

• What is the product of all prime factors of 712?

Prime factors of 712 are 2 x 2 x 2 x 89. Therefore, their product is 712.

• What numbers are the prime factors of 712?

Prime factors of 712 are 2 , 2 , 2 , 89.

• Is there any even prime factor of 712?

Yes there is a even prime factor of 712.

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