To find the number of pairs of two numbers whose HCF is 5 and their sum is 50, we can follow these steps: Step 1: Understand the problemWe need to find two numbers, say a and b, such that:- The highest common factor (HCF) of a and b is 5.- The sum of a and b is 50. ...
We keep dividing the numerator and denominator by the common factors up until we reach a numerator and denominator with HCF equal to 1.For example:The given rational number is 6969, notice that the HCF of 6 and 9 is 3, not 1. so we divide numerator and denominator by HCF so that we...
In Python, we also have another number data type called octal and hexadecimal numbers. To represent the octal number which has base 8 in Python, add a preceding 0 (zero) so that the Python interpreter can recognize that we want the value to be in base 8 and not in base 10. Example:...
A complex number is a number that can be expressed in the form (a + bi) where a and b are real numbers, and i is a solution of the equation x2= −1. Since no real number satisfies this equation, i is called animaginary number.Complex numbershave a real part and an imaginary pa...
<p>To determine whether the statement "HCF of two numbers is always a factor of their LCM" is true or false, we can analyze the relationship between HCF (Highest Common Factor) and LCM (Lowest Common Multiple) using mathematical definitions and examples.
An even number is a number that is amultipleof 2. For example, whereas an odd number is not a multiple of 2. What is the HCF of Two Consecutive Even Numbers? The HCF of two consecutive even numbers is 2. TheHighest Common Factor (HCF)of any two numbers is their highest common facto...
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HCF = 4 Since 1008 = 20×q+a, where q and a are positive integers that satisfy Euclid’s division lemma, we must have 0≤a<20. So a is surely 8, and b is 4. Revisiting Irrational Numbers Which one of the following can’t be the square of a natural number?
LCM or Least common multiple of two numbers is the smallest number that can be evenly divisible by both of those numbers: For example: LCM of 4, 10 is 20, LCM of 4, 3 is 12. HCF or Highest common factor, also known as GCD (Greatest common divisor) of two numbers is the highest ...
The prime factorization of a number is the product ofprime factorsthat make up that number. ... Factors are numbers that can be multiplied together to make another number. For example, 3 and 12 are a factor pair of 36. Prime numbers are numbers that have exactly two factors, 1 and itse...