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Prime factors of the product of two numbers are:

Ritesh Phogat

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A group of four numbers has only one prime number amongst them. Which of the following must be true about the group?I. HCF of the four numbers of the group is .either 1 or equal to that prime number.I

HCF and LCM of two numbers is given. It is possible to ind out the two numbers uniquely ifI. either sum or difference between the two numbers is known.II. HCF of two numbers = LCM of two numbers.III.

The LCM and HCF of two numbers are 2970 and 30 respectively. Prime factors of the product of two numbers are:

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If a and b are prime numbers, which of the following is true?I. a2 has three positive integer factors.II. ab has four positive integer factors.III. a3 has four positive integer factors.Codes

If the LCM and HCF of two numbers are equal, then the numbers must be

Okay i know LCM and HCF but what are Prime Factors

Prime factors are numbers which are only divisible by 1 and number itself for e.g

let's take and example 2

2 is prime number as it has 2 factors 1 and 2

But 4 isn't a prime number as it has 1,2,4 , it has 3 factors so it isn't a prime number

let's take and example 2

2 is prime number as it has 2 factors 1 and 2

But 4 isn't a prime number as it has 1,2,4 , it has 3 factors so it isn't a prime number

Solution is 2,3,5,11

2970 = 2 * 5 * 3 * 3 * 11

30 = 2*3*5

LCM of the two numbers = 2*3*3*3*5*11 = 2970

So the prime factors are = 2,3,5,11

It's Simple

Factors of [2970] = 2*3*5*3*3*11

Factors of [30] = 2*3*5HCF = 2*3*5 = 30

LCM = 2*3*5*32*11 = 30*99 = 2970

It's Simple

Factors of [2970] = 2*3*5*3*3*11

Factors of [30] = 2*3*5

HCF = 2*3*5*

LCM = 2*3*5*3*3*11 = 30*99 =2970