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Oh, isn't that a happy little question! Numbers with 6 divisors are special, just like every number is special in its own way. These numbers are known as highly composite numbers, and there are infinitely many of them. So, keep exploring and you'll find more of these unique numbers to brighten your mathematical world.
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Professor
Fran
CoachIf you mean have exactly 6 factors then infinitely many!
Including those with at least 6 factors makes no difference, there are still 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:
- has 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 are an infinite number of numbers with exactly 6 factors.
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How many numbers between 1-10 are divisors of 48?
1,2,3,4,6,8 are divisors of 48, so there are 6 divisors of 48 between 1 and 10
How many divisors does 30 have?
6
Is 6 a divisor of 18 why or why not?
Yes. Any two numbers can be divisors or dividends.
Which of these numbers are divisors of 64 2 6 8 12 16?
Are 2 8 16
How many possible remainders are there when the divisor is 10?
There are 10 possible divisors, the numbers 0 to 9.
