Prime Factors of 1476

Steps to find Prime Factors of 1476 by Division Method

To find the primefactors of 1476 using the division method, follow these steps:

• Step 1. Start dividing 1476 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 1476, which is 2. Divide 1476 by 2 to obtain the quotient (738).
  1476 ÷ 2 = 738
• Step 3. Repeat step 1 with the obtained quotient (738).
  738 ÷ 2 = 369
  369 ÷ 3 = 123
  123 ÷ 3 = 41
  41 ÷ 41 = 1

So, the prime factorization of 1476 is, 1476 = 2 x 2 x 3 x 3 x 41.

Steps to find Prime Factors of 1476 by Factor Tree Method

We can follow the same procedure using the factor tree of 1476 as shown below:

So, the prime factorization of 1476 is, 1476 = 2 x 2 x 3 x 3 x 41.

Introduction to Prime Factors?

In mathematics, prime numbers are defined as all those natural numbers greater than 1 that has only two divisors one being number 1 and the other being the number itself. When we express any number as the products of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 1476 are 2 x 2 x 3 x 3 x 41.

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 1476 but not a prime factor of 1476.

Frequently Asked Questions

• Which is the smallest prime factor of 1476?

  Smallest prime factor of 1476 is 2.

• What is the prime factorization of 1476?

  Prime factorization of 1476 is 2 x 2 x 3 x 3 x 41.

• What are the factors of 1476?

  Factors of 1476 are 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 , 41 , 82 , 123 , 164 , 246 , 369 , 492 , 738 , 1476.

• Is 1476 a prime number or a composite number?

  1476 is a composite number.

• Is 1476 a prime number?

  false, 1476 is not a prime number.

• Which is the largest prime factors of 1476?

  The largest prime factor of 1476 is 41.

• What is the sum of all prime factors of 1476?

  Prime factors of 1476 are 2 x 2 x 3 x 3 x 41. Therefore, their sum is 51.

• What numbers are the prime factors of 1476?

  Prime factors of 1476 are 2 , 2 , 3 , 3 , 41.

• What is the sum of all odd prime factors of 1476?

  Prime factors of 1476 are 2 , 2 , 3 , 3 , 41, out of which 3 , 3 , 41 are odd numbers. So, the sum of odd prime factors of 1476 is 3 + 3 + 41 = 47.