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No. 81=9*9=3*27=1*81
81 has 5 factors and is a square number.
36=6*6=3*12=1*36=2*18=4*9
36 has 9 factors and is a square number.
This doesn't mean that no square numbers have exactly 3 factors though, because:
9=3*3=1*9
9 has 3 factors and is a square number.
4=2*2=1*4
4 has 3 factors and is a square number.
All square numbers have an odd number of factors though (because they have a whole number which multiplies by itself to get the number).
Factors are whole numbers only, and not decimals.
Hope this helps :)
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Are all square roots of even numbers rational?
No. The square roots 8 are irrational, as are the square roots of most even numbers.
What are all the factors between 50 and 60?
All of the numbers between 50 and 60 can be factors. If you're asking for the prime numbers, that's 53 and 59. If you're asking us to factor all the numbers between 50 and 60, then no.
Is the square root of 81 rational?
Yes. The square root of 81 is 9 - a natural number and all natural numbers are rational numbers.
What two whole numbers are closest to the square root of 19?
4x4=16, and 5x5=25, so 4 and 5 are the whole numbers closest to the square root of 19. [And incidentally of all the square roots of all the whole numbers between 16 and 25.]
What are non-perfect square numbers?
Non-perfect square numbers are numbers that are not formed from the square of a number. 12, 13, 14, 21, 99, etc, are all non-perfect square numbers because when you square root them you do not get a whole number, which means they are not formed by any whole number, x, being squared (x^2).
What numbers have exactly 3 factors?
All numbers that are the square of primes have exactly 3 factors.
Do all prime numbers have exactly two factors?
That is correct -- all prime numbers have exactly two factors.
Which of the tower numbers have exactly tw factors?
All numbers that have exactly two factors are prime numbers whereas composite numbers have more than two factors.
Why do all non square numbers have even factors?
The factors of all numbers can be written in pairs. With square numbers, one of those pairs is the same number twice. When listed singly, square numbers have an odd number of factors. All others are even.
What are all the numbers less than 100 with exactly 3 factors that are prime?
By definition, a prime number has exactly two factors. So, there are no prime numbers with exactly three factors.
Which number has an odd number of different factors?
All square numbers have an odd number of factors.
Numbers with 3 factors?
The squares of all prime numbers above 2 have exactly 3 factors.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Do all prime numbers have exactly 2 different factors?
Yes.
Are all square numbers also composite numbers explain?
Every square number (except 1) is composite. Prime numbers only have two factors, one and the numbers themselves. Since square numbers also have at least the square roots as factors, they have to be composite.
Do all square numbers have odd amount of factors?
Yes.
What is a perfect square factor?
All numbers have factors. Some factors are perfect squares. We call these perfect square factors. 9 is a perfect square factor of 27.
