Prime Factors of 68172

Steps to find Prime Factors of 68172 by Division Method

To find the primefactors of 68172 using the division method, follow these steps:

• Step 1. Start dividing 68172 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 68172, which is 2. Divide 68172 by 2 to obtain the quotient (34086).
  68172 ÷ 2 = 34086
• Step 3. Repeat step 1 with the obtained quotient (34086).
  34086 ÷ 2 = 17043
  17043 ÷ 3 = 5681
  5681 ÷ 13 = 437
  437 ÷ 19 = 23
  23 ÷ 23 = 1

So, the prime factorization of 68172 is, 68172 = 2 x 2 x 3 x 13 x 19 x 23.

Steps to find Prime Factors of 68172 by Factor Tree Method

We can follow the same procedure using the factor tree of 68172 as shown below:

So, the prime factorization of 68172 is, 68172 = 2 x 2 x 3 x 13 x 19 x 23.

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 68172 are 2 x 2 x 3 x 13 x 19 x 23.

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 68172 but not a prime factor of 68172.

Frequently Asked Questions

• Which is the smallest prime factor of 68172?

  Smallest prime factor of 68172 is 2.

• What is the prime factorization of 68172?

  Prime factorization of 68172 is 2 x 2 x 3 x 13 x 19 x 23.

• What are the factors of 68172?

  Factors of 68172 are 1 , 2 , 3 , 4 , 6 , 12 , 13 , 19 , 23 , 26 , 38 , 39 , 46 , 52 , 57 , 69 , 76 , 78 , 92 , 114 , 138 , 156 , 228 , 247 , 276 , 299 , 437 , 494 , 598 , 741 , 874 , 897 , 988 , 1196 , 1311 , 1482 , 1748 , 1794 , 2622 , 2964 , 3588 , 5244 , 5681 , 11362 , 17043 , 22724 , 34086 , 68172.

• Is 68172 a prime number or a composite number?

  68172 is a composite number.

• Is 68172 a prime number?

  false, 68172 is not a prime number.

• Which is the largest prime factors of 68172?

  The largest prime factor of 68172 is 23.

• What is the sum of all prime factors of 68172?

  Prime factors of 68172 are 2 x 2 x 3 x 13 x 19 x 23. Therefore, their sum is 62.

• What numbers are the prime factors of 68172?

  Prime factors of 68172 are 2 , 2 , 3 , 13 , 19 , 23.

• What is the sum of all odd prime factors of 68172?

  Prime factors of 68172 are 2 , 2 , 3 , 13 , 19 , 23, out of which 3 , 13 , 19 , 23 are odd numbers. So, the sum of odd prime factors of 68172 is 3 + 13 + 19 + 23 = 58.