Step by Step

What is the fastest way to finding the highest common factor (HCF) between two numbers, and how can you check your answer? The quickest way to find the highest common factor between two numbers is to start by identifying all the factors of the smallest number first, then with this list, starting from the biggest factors, see if each number divides into the larger number without leaving a remainder. As you progress down through the list of factors (from the smaller number) when you find a number that divides into the larger number you can stop as you have found the highest common factor of both numbers. ...

What is the fastest way to finding the highest common factor (HCF) between two numbers, and how can you check your answer? The quickest way to find the highest common factor between two numbers is to start by identifying all the factors of the smallest number first, then with this list, starting from the biggest factors, see if each number divides into the larger number without leaving a remainder. As you progress down through the list of factors (from the smaller number) when you find a number that divides into the larger number you can stop as you have found the highest common factor of both numbers. ...

What Is a Prime Number? A prime number is a number that has exactly two factors: (1) itself If a number has more than two factors, it is called a composite number. Step-by-Step Check: Is 43 Prime? Let’s test whether (43) is prime by checking if it has any divisors other than 1 and itself. We only need to test numbers up to (\sqrt{43} \approx 6.56). Try dividing by small primes: (43 \div 2 = 21.5) → ✖️ Not divisible (43 \div 3 \approx 14.33) → ✖️ Not divisible (43 \div 4 = 10.75) → ✖️ Not divisible (43 \div 5 = 8.6) → ✖️ Not divisible (43 \div 6 \approx 7.17) → ✖️ Not divisible Since no divisors were found up to (\sqrt{43}), we can conclude: ...

How can you tell if a number is prime? And what is the fastest way to tell if a number is a prime number? A prime number is a number that has just two factors: the number 1 and itself. Therefore, when finding all the factors of a number if you end up with just two numbers then you have a prime number. Using the same process as you would normally when finding factors for a given number, the same is applied when determining whether a number is prime. Once you’ve completed finding all the factors simply add up all the factors and if you see just the number 1 and your original number, then you likely have a prime number. ...

How can you tell if a number is prime? And what is the fastest way to tell if a number is a prime number? A prime number is a number that has just two factors: the number 1 and itself. Therefore, when finding all the factors of a number if you end up with just two numbers then you have a prime number. Using the same process as you would normally when finding factors for a given number, the same is applied when determining whether a number is prime. Once you’ve completed finding all the factors simply add up all the factors and if you see just the number 1 and your original number, then you likely have a prime number. ...

How can you tell if a number is prime? And what is the fastest way to tell if a number is a prime number? A prime number is a number that has just two factors: the number 1 and itself. Therefore, when finding all the factors of a number if you end up with just two numbers then you have a prime number. Using the same process as you would normally when finding factors for a given number, the same is applied when determining whether a number is prime. Once you’ve completed finding all the factors simply add up all the factors and if you see just the number 1 and your original number, then you likely have a prime number. ...

What Is a Prime Number? A prime number is a number that has exactly two factors: The number 1 The number itself That means a prime number cannot be divided evenly (without a remainder) by any other number. How To Check if a Number Is Prime To test whether a number is prime, follow this process: Try dividing the number by all whole numbers from 2 up to its square root. If any of those divide evenly, the number is not prime. If none divide evenly, the number is prime. Let’s use this method to test the number 91. ...

What Is a Prime Number? A prime number is a number with exactly two factors: The number 1 The number itself That means a prime number cannot be divided evenly by any other whole number. How Can You Check If a Number Is Prime? To test whether a number is prime: Begin dividing by small numbers, starting at 2. Stop once you’ve reached the square root of the number. If no divisor leaves a remainder of 0 (besides 1 and the number itself), it is prime. Let’s test this using 73. ...

What Is a Prime Number? A prime number is a number that has exactly two distinct factors: (1) itself If a number has more than two factors, then it is a composite number. Step-by-Step Test: Is 39 Prime? We will determine whether (39) is a prime number by testing whether any integers divide evenly into it — without leaving a remainder. We only need to check up to (\sqrt{39} \approx 6.24). ...

What Is a Prime Number? A prime number is a number that has exactly two distinct positive factors: (1) The number itself If a number has more than two factors, it is considered a composite number. Is 61 Prime? Step-by-Step Let’s test whether any number from 2 up to ( \sqrt{61} \approx 7.81 ) divides 61 evenly. We stop testing once we exceed the square root. Test Small Divisors: (61 \div 2 = 30.5) → ❌ not divisible (61 \div 3 = 20.33) → ❌ not divisible (61 \div 4 = 15.25) → ❌ not divisible (61 \div 5 = 12.2) → ❌ not divisible (61 \div 6 \approx 10.17) → ❌ not divisible (61 \div 7 \approx 8.71) → ❌ not divisible No whole numbers divide 61 other than 1 and itself. ...