Prime Factors of 142884

Steps to find Prime Factors of 142884 by Division Method

To find the primefactors of 142884 using the division method, follow these steps:

• Step 1. Start dividing 142884 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 142884, which is 2. Divide 142884 by 2 to obtain the quotient (71442).
  142884 ÷ 2 = 71442
• Step 3. Repeat step 1 with the obtained quotient (71442).
  71442 ÷ 2 = 35721
  35721 ÷ 3 = 11907
  11907 ÷ 3 = 3969
  3969 ÷ 3 = 1323
  1323 ÷ 3 = 441
  441 ÷ 3 = 147
  147 ÷ 3 = 49
  49 ÷ 7 = 7
  7 ÷ 7 = 1

So, the prime factorization of 142884 is, 142884 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7.

Steps to find Prime Factors of 142884 by Factor Tree Method

We can follow the same procedure using the factor tree of 142884 as shown below:

So, the prime factorization of 142884 is, 142884 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 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 142884 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7.

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 142884 but not a prime factor of 142884.

Frequently Asked Questions

• Which is the smallest prime factor of 142884?

  Smallest prime factor of 142884 is 2.

• What is the prime factorization of 142884?

  Prime factorization of 142884 is 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7.

• What are the factors of 142884?

  Factors of 142884 are 1 , 2 , 3 , 4 , 6 , 7 , 9 , 12 , 14 , 18 , 21 , 27 , 28 , 36 , 42 , 49 , 54 , 63 , 81 , 84 , 98 , 108 , 126 , 147 , 162 , 189 , 196 , 243 , 252 , 294 , 324 , 378 , 441 , 486 , 567 , 588 , 729 , 756 , 882 , 972 , 1134 , 1323 , 1458 , 1701 , 1764 , 2268 , 2646 , 2916 , 3402 , 3969 , 5103 , 5292 , 6804 , 7938 , 10206 , 11907 , 15876 , 20412 , 23814 , 35721 , 47628 , 71442 , 142884.

• Is 142884 a prime number or a composite number?

  142884 is a composite number.

• Is 142884 a prime number?

  false, 142884 is not a prime number.

• Which is the largest prime factors of 142884?

  The largest prime factor of 142884 is 7.

• What is the sum of all prime factors of 142884?

  Prime factors of 142884 are 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 7 x 7. Therefore, their sum is 36.

• What numbers are the prime factors of 142884?

  Prime factors of 142884 are 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 7 , 7.

• What is the sum of all odd prime factors of 142884?

  Prime factors of 142884 are 2 , 2 , 3 , 3 , 3 , 3 , 3 , 3 , 7 , 7, out of which 3 , 3 , 3 , 3 , 3 , 3 , 7 , 7 are odd numbers. So, the sum of odd prime factors of 142884 is 3 + 3 + 3 + 3 + 3 + 3 + 7 + 7 = 32.