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The 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.
Well, darling, the number you're looking for is 9. It has 6 factors: 1, 3, 9, 3x3, 1x9, and 9x1. And wouldn't you know it, all of those factors are odd. So there you have it, 9 is the oddball with 6 odd factors.
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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.
Why does 64 have an odd number of factors?
The number 64 has an odd number of factors because it is a perfect square of 2 raised to the power of 6. When a number is a perfect square, it has an odd number of factors because each factor has a corresponding pair, except for the square root itself. In this case, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64, totaling 7 factors, which is an odd number.
Which odd number below 100 has the most number of factors?
45, 63, 75 and 99 all have 6.
What odd number less than a hundred has the most factors?
The most factors any odd number less than 100 has is 6. There are 4 numbers which have 6 factors:45, 63, 75 & 99.
Why don't all even numbers have only even numbers for factors?
Because an even number times an odd number is an even number. Any even number multiplied by an odd number produces another even number. So the odd number that you multiplied by becomes a factor of the bigger even number. 3 x 2 = 6 6 is an even number, but one of its factors is 3 .
Can negative numbers have factors?
Sure. Take any positive number and find its factors. Then, if you make an odd number of the factors negative, you then have a set of factors of the negative of the original composite number. That means that the factors of a negative number are not 'unique'. Take ' 6 ' for example. Its factors are 1, 2, 3, and 6. If you make the '1' or the '2' or the '3' or the '6' negative, then you have four factors of ' -6 '. Are there any other ways to make an odd number of them negative ? I see eight different ways to make an odd number of those four numbers negative. So ' -6 ' has eight different possible sets of factors. Is that weird or what !
What whole number which is odd less than a hundred has the most factors as the even number?
There are four odd numbers less that 100 that have 6 factor. This does not compare with even numbers that have 12 factors!
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.
Why does 64 have an odd number of factors?
The number 64 has an odd number of factors because it is a perfect square of 2 raised to the power of 6. When a number is a perfect square, it has an odd number of factors because each factor has a corresponding pair, except for the square root itself. In this case, the factors of 64 are 1, 2, 4, 8, 16, 32, and 64, totaling 7 factors, which is an odd number.
Do all factors of even numbers are even?
No. For example, the factors of 6 are 1, 2, 3, and 6. Two of these are even, the others are odd.
Multiple of 6 is a odd number?
All multiples of 6 are even numbers.
