The integers that divide 56 without leaving any remainder are known as the factors of 56. For example, 4 is a factor of 56 because when we divide 56 by 4, it leaves 14 as the quotient and 0 as the remainder. Here, the quotient is also a factor of 56. The number 56 is a composite number, that is, it has more than two numbers as factors. To find the prime factors, first we will divide the number 56 by its smallest prime factor, that is, 2. 56 ÷ 2 = 28 Again, divide it by 2: 28 ÷ 2 = 14 14 ÷ 2 = 7 Now, divide by it the next prime numbers, that is, 3, 5, 7, and so on. 7 ÷ 3 = 2 and it leaves 1 as the remainder, which is not a factor. 7 ÷ 5 = 1 and it leaves 2 as the remainder, which is not a factor. So, divide by the next prime number, that is, 7. 7 ÷ 7 = 1 So, the prime factorization of 56 = 2 × 2 × 2 × 7 or 2³ × 7. This means that 2 and 7 are the prime factors of 56. The factors of 56 are the numbers, which produce the result as 56 when two numbers are multiplied together. Factor pairs of the number 56 are the whole numbers which could be either positive or negative but not a fraction or decimal number. Consider an example, the factor pair of 56 is written as (1, 56) and (-1, -56). Thus, we can consider both positive and negative factor pairs of 11. To find the factors of a number, 56, we will use the factorization method. In this article, we will learn the factors of 56, pair factors and the prime factors of 56 using the prime factorization method with many solved examples. What are the Factors of 56? The numbers that divide 56 exactly are the factors of 56. In other words, the numbers which are multiplied in pairs resulting in 56 are the factors of 56. As the number 56 is an even composite number, it has many factors other than 1 and 56. Thus, the factors of 56 are 1, 2, 4, 7, 8, 14, 28 and 56. LCM and HCF playlist • LCM and HCF #conceptsandsteps divisibility rule for 2 • Video divisibility rule for 3 • divisibility by 3 lcm questions for class 4 factors tree Prime factors of a number prime factors Prime factorization of large numbers Prime factors of 56 Prime factorization Finding factors of a number 28 Prime factors prime factors of 56 prime factor Prime factors of 56 Express 56 as a product of its prime factors Factors of 56 Factor of 56 What are the prime factors of 56 Prime factors of 56 how to find prime factors of 56 prime factors of 56 Prime factors 56 Prime factorization 56 lcm of 56 for class 3 for class 4 for class 5 for class 6 for class 7 Factors of 56 Factors of 28 Factors of 14 Factors of a number #conceptsandsteps #primefactorisation #primefactorization