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Q: Do odd or even numbers have more factors?

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Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.

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.

No. Perfect square numbers have an odd number of factors.

Yes, the factors of all odd numbers are odd numbers.

Related questions

Some even numbers have more factors than some odd numbers and some odd numbers have more factors than some even numbers. As a group, even numbers have more factors than odd numbers.

All nonzero numbers have factors. Some factors are even numbers, some factors are odd numbers.

Both odd and even numbers may have odd numbers as factors.

Even numbers must have 2 amongst their factors; they may have other even numbers amongst their factors. Odd numbers must not; every factor of an odd number must be odd.

Every even number has odd and even factors.

No, odd numbers don't have even factors.

Even powers of prime numbers. Square numbers have an odd number of factors.

No. Odd numbers don't have even factors.

The GCF of any two odd numbers is always odd because odd numbers don't have any even factors. The GCF of any two even numbers is always even because even numbers are divisible by two and any common factors would have at least one two in common. The GCF of an even and an odd number is odd because odd numbers don't have any even factors.

An even power. Square numbers have an odd number of factors.

Both. 9 has three factors. 11 has two factors.

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.

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