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They are numbers of the form 2a*3b where a is 0, 1, ... , 6 and b = 0, 1 or 2.
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How many integers less than 60 have an even number of factors?
All but the square numbers - 53 of them.
What is the meaning of even and odd factors?
All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.
Which number between 10 and 20 if you square all its factors gives the answer 341?
I think this is one for trial and error. Are you counting 1 as a factor?
What are all the factors of the Numbers's?
The factors of a number comprises all positive integers which go into it evenly.
What is a number that has identical even factors in multiplication?
All even numbers have at least one even prime factor.
What is all the sqare roots of 576?
24 is the square root of 576 24 * 24 = 576
Which number has an odd number of different factors?
All square numbers have an odd number of factors.
Do all numbers have an even number of factors?
No. Perfect square numbers have an odd number of factors.
Is 2500 a square number?
To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.
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 is special about the number of factors for square numbers?
Square numbers have an odd number of factors, all others have an even number. In this context, primes can either be considered as having 0 factors (an even number) or 2 factors - 1 and itself, again, an even number.
What are the factors of a squared number?
Different square numbers have different sets of factors. The only thing they all have in common is an odd number of factors.
Why does number 25 have a odd number of factors?
Because it's a square number. All perfect squares have an odd number of factors because they have one factor pair that is the same number twice (the square root) and when the factors are listed, the number is listed once.
What type of number has a n odd number of factors?
all perfect square numbers
Do all square numbers have exactly 3 factors?
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 :)
Why do all numbers other than square numbers have an even number of factors?
Factors come in pairs. It is only in the case of a square number that the two middle factors are equal and so are counted only once.
Why 81 have an odd number of factors and 40 have an even number of factors?
A number will have an odd number of factors if and only if one of those factors is the square root of the number. This is because any factor of a number you can find must pair up with another factor of that number, and multiply to give the number. The only exception is when the factor would be paired with itself. In other words, be the square root. 81 is a square number, and so the factor 9 (square root of 81) will not pair with any other factor, meaning 81 will have an odd number of factors. 40 has an even number of factors, because it is not a square number, and so all its factors can pair up.
