Prime factors
They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..
LCM by prime factor method
To use this method factor each of the numbers into primes. Then for each different prime number in all of the factorizations, do the following... Count the number of times each prime number appears i..
Prime numbers
It can only be divided by one or itself i.e., a prime number has no factors other than 1 and itself. e.g., 2, 3, 5, 7, 11, 13, 17, 19, 23, are examples of prime numbers..
with a prime factorization of 6 and a prime factorization of 3 which number is bigger
Find LCM of the following numbers by prime factor method. 1) 10,16 2) 150,140,210 3) 96,1..
Question 41
Question: Find the HCF and LCM of 1152 and 1664 by using the fundamental theorem of arithmetic. [2 Marks] Answer: Steps: 1. Find the prime factors of 1152 and 1664 2. Find the common factors and write their products as HCF. 3. Find LCM by dividin..
Steps for Reducing Fraction
Step 1: List the possible prime factors of both numerator and denominator Step 2 : Select the common factor for both numerator and denominator Step 3 : Divide the numerator term and denominator term by common factor and simpl..
Question 44
p 2 = 3q 2 or 3q 2 = p 2 ==> 3 divides p 2 and 3 divides p (1) Let p = 3x p 2 = 9x 2 So, 3q 2 = 9x 2 q 2 = 3x 2 ==> 3 divides q 2 and 3 divides q (2) From (1) and (2), we get 3 is a common ..
Question 47
Question: Prove that is an irrational number by contradiction method. [3 Marks] Answer: Prove that is irrational by contradiction method. Let us assume that is a rational number. (p and q are integers, p and q are co-prime..
Factor
A factor of a number divides it exactly without leaving any remainder, e.g., Factors of 18 are 1, 2, 3, 6, 9, ..
Prime numbers and Composite numbers
A prime number is one that has only two factors namely 1 and itself. and a composite number has factors besides 1 and itsel..
Result
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