1, 3 and 9
Square numbers 16, 25, 36, 49, 64, 81, 100
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.
It's even
25 is odd
That number is 36.
because you have a number times itself 6x6.
These numbers between 1 and 40 have an odd number of factors: 4, 9, 16, 25, 36.
1, 3 and 9
The sum of the positive odd factors of 36 is 13 (1 + 3 + 9 = 13).
only 2516 and 36 also have an odd number of factors, but both of those have more than 3.
The positive integer factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36 Of these, 1, 3, and 9 are odd.
There are 9 integers less than 100 that have an odd number of factors.Every factor of a number has a pair, eg 2 & 3 are a factor pair of 6; and so it would be expected that every number has an even number of factors.However, if the factor pair of a number are the same number (eg 6 & 6 are a factor pair of 36), then there will be an odd number of factors.When there is a repeated factor like this, the number is a perfect square.Thus only perfect squares have an odd number of factors.Less than 100 there are 9 perfect squares (1, 4, 9, 16, 25, 36, 49, 64 & 81) which have an odd number of factors.100 itself is a perfect square and also has an odd number of factors, but the question asked for those numbers less than 100 with an odd number of factors.
Square numbers 16, 25, 36, 49, 64, 81, 100
1, 3, 9
Square numbers like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
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.