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There are infinitely many!
The number of factors of a number depends solely upon the prime factorisation of the number. There will be exactly 6 factors if the number:
- is a single prime to the power five (eg 32 = 2 x 2 x 2 x 2 x 2 = 25); or
- is the product of two primes, one of which is squared (eg 12 = 2 x 2 x 3 = 22 x 3; 50 = 2 x 5 x 5 = 2 x 52)
As there is an infinite number of primes, there is an infinite number of numbers with exactly 6 factors.
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What are numbers with 6 factors?
Numbers with exactly 6 factors are called highly composite numbers. These numbers have a total of 6 factors, including 1 and the number itself. Highly composite numbers are typically of the form p^2 * q, where p and q are prime numbers. Examples of numbers with 6 factors include 12 (2^2 * 3) and 24 (2^3 * 3).
What numbers are multiples of 2 and factors of 18?
2, 6 and 18 are numbers that are multiples of 2 and factors of 18.2, 6 and 18
What does composite factors mean?
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. The factors of 12 are 1, 2, 3, 4, 6, 12 Since 4, 6 and 12 are composite numbers, they are the composite factors of 12.
What is a common fractor?
All numbers have factors. Some numbers have some of the same factors as other numbers. These are common 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.
