Prime Factors of 15428

Steps to find Prime Factors of 15428 by Division Method

To find the primefactors of 15428 using the division method, follow these steps:

• Step 1. Start dividing 15428 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 15428, which is 2. Divide 15428 by 2 to obtain the quotient (7714).
  15428 ÷ 2 = 7714
• Step 3. Repeat step 1 with the obtained quotient (7714).
  7714 ÷ 2 = 3857
  3857 ÷ 7 = 551
  551 ÷ 19 = 29
  29 ÷ 29 = 1

So, the prime factorization of 15428 is, 15428 = 2 x 2 x 7 x 19 x 29.

Steps to find Prime Factors of 15428 by Factor Tree Method

We can follow the same procedure using the factor tree of 15428 as shown below:

So, the prime factorization of 15428 is, 15428 = 2 x 2 x 7 x 19 x 29.

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 15428 are 2 x 2 x 7 x 19 x 29.

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 15428 but not a prime factor of 15428.

Frequently Asked Questions

• Which is the smallest prime factor of 15428?

  Smallest prime factor of 15428 is 2.

• What is the prime factorization of 15428?

  Prime factorization of 15428 is 2 x 2 x 7 x 19 x 29.

• What are the factors of 15428?

  Factors of 15428 are 1 , 2 , 4 , 7 , 14 , 19 , 28 , 29 , 38 , 58 , 76 , 116 , 133 , 203 , 266 , 406 , 532 , 551 , 812 , 1102 , 2204 , 3857 , 7714 , 15428.

• Is 15428 a prime number or a composite number?

  15428 is a composite number.

• Is 15428 a prime number?

  false, 15428 is not a prime number.

• Which is the largest prime factors of 15428?

  The largest prime factor of 15428 is 29.

• What is the sum of all prime factors of 15428?

  Prime factors of 15428 are 2 x 2 x 7 x 19 x 29. Therefore, their sum is 59.

• What numbers are the prime factors of 15428?

  Prime factors of 15428 are 2 , 2 , 7 , 19 , 29.

• What is the sum of all odd prime factors of 15428?

  Prime factors of 15428 are 2 , 2 , 7 , 19 , 29, out of which 7 , 19 , 29 are odd numbers. So, the sum of odd prime factors of 15428 is 7 + 19 + 29 = 55.