Question

Which number has just 3 prime factors of 2, 3 and 7?

Answer 1

Answer:

42

(I'm not sure it is right or wrong.)

Step-by-step explanation:

LCM of 2,3 and 7 is 42

And hence 42 is divisible by 2,3 and 7.

Answer 2

Answer:

The numbers 42, 84, 126, 168 etc.., (ie) when 7 is multiplied with multiples of 6 such as 6, 12, 18, 24 etc.., the obtained numbers have the prime factors as 3, 2, 6

Step-by-step explanation:

The given prime factors are 2, 3 and 7. On finding LCM by multiplying all the prime factors we get 42.

It is seen that 7 * 6 = 42; in a more clearer sense it can be seen that,

7 * (2 * 3) = 42. 42 is the LCM as well as the number with all three prime factors 2, 3, 7.

Similarly, it could be seen that on multiplying 7 with every multiple of 6, the obtained number has the prime factors as 2, 3 and 7. It could be illustrated as shown below:

7 * 6 = 42 ;

7 * 12 = 84 ;

7 * 18 = 126 ;

7 * 24 = 168 ;

7 * 30 = 210 and so on...,

So, it could be concluded that the numbers 42, 84, 126, 168 etc.., have the prime factors as 2, 3 and 7. In addition to that, on multiplying 7 with every multiple of 6, the obtained number has the prime factors as 2, 3 and 7.

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