In this video, The prime factors of a number are the set of prime numbers that multiply together to give the original number. Factor Tree of 72 We can also find the prime factors of 72 using a factor tree. The factor tree of 72 can be drawn by factorizing 72 until we reach its prime factors. These factors are split and written in the form of the branches of a tree. The final factors are circled and are considered to be the prime factors of the 72. Let us find the prime factors of 72 using the following steps and the factor tree given below. Factors of 72 Factors of 72 are those numbers that divide 72 completely without leaving any remainder. There are 12 factors of 72 among which 72 is the biggest factor and 2 and 3 are its prime factors. The prime factorization of 72 can be done by multiplying all its prime factors such that the product is 72. Let us learn about all the factors of 72, the prime factors of 72, the factor pairs of 72, and the factor tree of 72 in this article. What are the Factors of 72? There are 12 factors of 72 that can be listed as 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. It means that 72 is completely divisible by all these numbers. Apart from these, 72 also has negative factors that can be listed as, -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72. For negative factors, we need to multiply a negative factor by a negative factor, like, (-36) × (-2) = 72. How to Find the Factors of 72? Factorization of a number means writing the number as a product of its factors. The most commonly used method to find the factors of a number is using the multiplication method. Let us find the factors of 72 using the multiplication method. All Factors of 72 using Multiplication Let us find all the factors of 72 using multiplication with the help of the following steps. What is the prime factorization of 72? factors of 72 Factors of 72 are those numbers that divide 72 completely without leaving any remainder. There are 12 factors of 72 among which 72 is the biggest factor and 2 and 3 are its prime factors. The prime factorization of 72 can be done by multiplying all its prime factors such that the product is 72. Let us learn about all the factors of 72, the prime factors of 72, the factor pairs of 72, and the factor tree of 72 in this article. What are the Factors of 72? There are 12 factors of 72 that can be listed as 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. It means that 72 is completely divisible by all these numbers. Apart from these, 72 also has negative factors that can be listed as, -1, -2, -3, -4, -6, -8, -9, -12, -18, -24, -36 and -72. For negative factors, we need to multiply a negative factor by a negative factor, like, (-36) × (-2) = 72. Prime Factorization of 72 The number 72 is a composite number. Now let us find the prime factorisation of this number. The first step is to divide the number 72 with the smallest prime factor,i.e. 2. 72 ÷ 2 = 36 Again, divide 36 by 2. 36 ÷ 2 = 18 18 ÷ 2 = 9 Now, if we divide 9 by 2 we get a fraction number, which cannot be a factor. Now, proceed to the next prime numbers, i.e. 3. 9 ÷ 3 = 3 3 ÷ 3 = 1 We have received 1 at the end of the division process and further, we cannot proceed. So, the prime factorisation of 72 is 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers. learn more LCM and HCF playlist • LCM and HCF #conceptsandsteps divisibility rule for 2 • Video divisibility rule for 3 • divisibility by 3 prime factors of 72, prime factors of a number, prime factors, factors of 72, how to find factors of 72 by prime factorization, prime factorization of 72, factor tree of 72, prime factorization, find factors of 72, finding factors of a number, factorization of 71, factors, prime factors of 72, how to find prime factors of number 72, prime factor,72 prime factors, write the prime factorization of 72, prime factorization of large numbers LCM of 72 lcm 72 how to do prime factorization 72 ka LCM 72 ka HCF factors of 72 lcm and gcf #primefactors #primefactorization #primefactorisation