1.

There are four natural numbers less than 100 which have exactly 3 factor. One of them is 25 , what are the other three?what can be said these numbers.​

Answer»

Every number has at LEAST 2 factors (except for 1), it can be divided by 1 to yield itself or it can be divided by itself to yield one.The NUMBERS that only have 2 factors are what we call prime numbers.So to find a number with 3 factors we need to find a number that has just one more factor.But when we TRY other numbers like 6, we see that it has another 2 factors (3 and 2).Instead we need to find a number that uses the same factor twice.9 for example is 3x3 using the factor of 3 twice. Hence it only has 3 factors!(9,1,3)What we notice is that it is all square numbers, with one exception that it's square ROOT must be prime.I'll leave it up to u to figure out why the second statement is true.



Discussion

No Comment Found