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What is the smallest square number which has factors of 2 and 5?
100
What is the smallest square number which has 2 and 5 as factors?
100
What is a number with only 3 factors called?
Any square of a prime number. For example, 5*5 = 25 has the factors 1, 5, 25. If you square any other prime number, call it "p", the factors of the result are 1, p, p square.
What is the smallest square number which has both 2 and 5 as factors?
stupid
How many factors do perfect square numbers have?
It depends what square number you're looking at. The square number 25 has only three factors (1, 5 and 25) but the square number 16 has 5 (1, 2, 4, 8 and 16.) A key point is that the factors don't pair up. There is always one middle factor that is the square root of the number and so cannot pair with any other factor. This means that all square numbers have an odd number of factors, while other numbers have an even number of factors.
If a number has an odd number of factors is it a perfect square?
If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.
How is the number of factors of square numbers different from the number of factors for other numbers?
Square numbers have an odd number of factors.
Why cant 10 to the power of 50 3 be a square number?
10 = 2*5 (prime decomposition)So for a power of 10 to be a square means that the powers its factors must be even. A power of 10 is a square if it contains an even number of factors of 2 and 5. Since 503 is an odd number, 10^503 has an odd number of powers of 2 and 5, so it can't be the square of an integer.
What is the smallest square number that has both 2 and 5 as factors?
It is: 100
Which number has a odd amount of factors?
Square numbers have odd amounts of factors because the square root is listed as a single factor, not a pair of factors. For example, the factors of 25 are 1, 5, 25.
What is the next square number after ten does it has three factors?
The next square number after ten (which is not a square number) is 16. Sixteen has five factors.
Which number has an odd number of different factors?
All square numbers have an odd number of factors.
