find HCF of 12 15 and 20 by the prime factorization method
Answers
Answer: 1
Step-by-step explanation:
12 = 2*2*3
15 = 3*5
20 = 2*2*5
HCF = 1 (since there are no common factors)
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Answer:
As you can see when you list out the factors of each number, 1 is the greatest number that 12, 15, and 20 divides into.
LCM of 12, 15 and 20 is 60
Step-by-step explanation:
prime factors 12,15,21
12=2×2×3=2³ ×3
15=3×5
21=3×7
HCF(12,15,21)=3
LCM(12,15,21)= 2² ×3×5×7=420
Factors for 12: 1, 2, 3, 4, 6, and 12.
Factors for 15: 1, 3, 5, and 15.
Factors for 20: 1, 2, 4, 5, 10, and 20.
In Mathematics, factorisation or factoring is defined as the breaking or decomposition of an entity (for example a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or a matrix, etc. This concept you will learn majorly in your lower secondary classes from 6 to 8.
Example: Factorisation of x2 – 4 is (x – 2) (x + 2). It means both (x- 2) and (x + 2) are the factors of x2 – 4.
It is simply the resolution of an integer or polynomial into factors such that when multiplied together they will result in original or initial the integer or polynomial. In the factorisation method, we reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable or an algebraic expression itself.
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