No, its not.
All odd numbers have odd factors.
All nonzero numbers have factors. Some factors are odd numbers. 3 is an odd factor of 12.
All nonzero numbers have factors. Some factors are odd numbers. The largest of these would be the greatest odd factor. Of course, the greatest odd factor of any odd number is the number itself.
Yes.
The product of multiplication results in a number that has all of the factors of the two numbers being multiplied. All even numbers have the prime factor 2. Since no odd number has the factor 2, no product of those numbers can have it. So: - Odd numbers times odd numbers produce odd numbers. - Odd numbers times even numbers produce even numbers. - Even numbers times even numbers produce even numbers.
For 2 to be a factor, the number has to be even. If you multiply two odd numbers together, you get an odd number. 7 is odd, so if I multiply it by any odd number, I will get a number that doesn't have 2 as a factor (e.g. 7x5=35 which doesn't have 2 as a factor). Thus, the answer to the question is "no," not all multiples of 7 have 2 as a factor.
Square numbers have an odd number of factors, but beyond that, any odd number can be a factor.
All even numbers have 2 as a factor - that is in their definition No odd numbers have 2 as a factor - that is in theirs. Trying to divide 2, or any multiple of it, into a number that by definition cannot be divided by 2, is a hopeless endeavour. There is no guarantee that you can divide an even number by an odd one, but it is not impossible.
square numbers
All of the odd numbers.
All even numbers have 2 as a factor, but no odd numbers do. The only even number that will appear as a factor in prime factorizations is 2, because it is the only even prime number. Thus, an odd number will not have even numbers in its prime factorization because an odd number is not evenly divisible by 2. The only even numbers that could appear in the exponential form are the exponents. For example 81 is 34. The factor is an odd number - 3, while the exponent is an even number - 4.
Yes.Yes.2 can never be a factor of an odd number and because of that it can't be a common factor of any number pair where at least one of numbers is odd.