Yes.
List the prime factors of each of these numbers, then multiply all the prime factors. The prime factor 2 has to be included twice, since it appears twice in the number 4. Other prime factors, in this case, only have to be included once.
In a perfect number, the sum of all the factors (including the number itself) is twice the number. E.g., the sum of the factors of 6 is 1 + 2 + 3 + 6 = 12 (equal to 2 x 6). Every prime number has two factors: 1, and itself. So, the sum of the factors is only one more than the prime number itself; for any number greater than 1, this can't be twice the number. For example, the prime number 7 has the factors 1 and 7, which add up to 8.
Except in this case, the largest square factor is 1.
The prime factors are the factors of its square root, each one appearing twice as often.
your face lolNo because they have no factors in common, because 26 is twice 13, a prime number.
6930. The answer is obtained by multiplying the factors together (3 being used twice).
To find the primes that equal a number, start with any factor pair of the number and keep factoring the composite factors until all factors are prime. 44 2 x 22 2 x 2 x 11 = 44 The two prime numbers that equal 44 are 2 (twice) and 11.
The answer will depend on a, b and c. For example, if b = 7 and c = 6 then 60b and 70c are the same number, 420. That has prime factors 2 (twice), 3, 5, 7 which sum to 17. So a would have to be 17/12.
That would be 11.
Proof by contradiction: suppose that root 7 (I'll write sqrt(7)) is a rational number, then we can write sqrt(7)=a/b where a and b are integers in their lowest form (ie they are fully cancelled). Then square both sides, you get 7=(a^2)/(b^2) rearranging gives (a^2)=7(b^2). Now consider the prime factors of a and b. Their squares have an even number of prime factors (eg. every prime factor of a is there twice in a squared). So a^2 and b^2 have an even number of prime factors. But 7(b^2) then has an odd number of prime factors. But a^2 can't have an odd and an even number of prime factors by unique factorisation. Contradiction X So root 7 is irrational.
composite number
multiply