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ViviThe number that has 6 factors, all of which are odd, must be a square of a Prime number. This is because the factors of a square number are the prime factors raised to various powers. Since all the factors are odd, the prime number must also be odd. Therefore, the number with 6 odd factors is the square of an odd prime number.
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An odd number less than hundred that has the most factors?
I guess it would be 45,63,75,99 they each have 6 factors
How many integers less than 100 have an odd number of factors?
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.
Do even numbers always have more factors than odd numbers?
Even numbers do not necessarily have more factors than odd numbers. For example, the number 6 has 4 factors, 1, 2, 3 and 6. However, the number 63 has 1, 3, 7, 9, 21, 63 as its factors. We can see that 63 has more factors than 6. On the other hand, 3 has just 2 factors, 1 and 3. This means that the whether a number has many factors is not related to if it is odd or even.
What are the factors of 90 in odd numbers?
The odd factors of 90 are 1,3,5,9 and 15.
What are the odd factors of 12?
The factors of 12 are 1, 2, 3, 4, 6, and 12. The odd factors of 12 are the factors that are not divisible by 2, which are 1, 3, and 12. These odd factors are numbers that can be multiplied together to give the number 12 without involving the number 2.
