0
What else can I help you with?
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
Given the prime factorization of an integer how can you determine if our integer is a perfect square?
What number is a perfect square with 2 as its only prime number in its prime factorization?
4, 16, 64 and many others
Is 49x14y18 is a perfect square?
49 x 14 x 18 is not a perfect square. This is because a prime factorization of 49 x 14 x 18 contains 3 sevens. The prime factorization of any perfect square must have an even amount of each prime number.
Your number is a perfect square the only prime number in its prime factorization is 2 your number is a factor of 32 the sum of its digits is odd?
16.
What number is a perfect square that only prime number in its prime factorization is 2 its number is a factor of 32 and its sum of its digits is odd?
16
What number is a factor of 32 and is a perfect square and its only prime factorization number is 2?
16 2*16 = 32
What is the prime factorization of 144 written with the exponents?
144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.
What is the prime factorization of the square root 512?
The square root of 512 is neither an integer, nor even a rational number, so it has no prime factorization.
What is your number clue 1 your number is a perfect square clue 2 the only prime number in its prime factorization is 2 clue 3 your number is a factor of 32 and clue 4 is the sum of its digits is odd?
16
How can you tell if a number is a perfect square?
One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.
Can a prime number be a perfect square?
No.
Will the square root of a prime number be rational or irrational?
Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.
