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What is the number this is a multiple of five and three and has eight factors?
Wiki User
∙ 12y ago
There are an infinite number of numbers that are a multiple of 3 & 5 and have [exactly] 8 factors. The lowest is 30.
The next few are: 105, 135, 165, 195, 255, 285, 375, 435, ...
Any number of the form 15p where p is a Prime number (which is 2 or greater than 5) will be a multiple of 3 & 5 and have exactly 8 factors.
p=2 gives 15 x 2 = 30, p=7 gives 15 x 7 = 105, etc.
There are two further numbers (listed above): 135 (= 15 x 9) & 375 (= 15 x 25).
Wiki User
∙ 12y ago
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Is 9 a factor of three?
No. 9 is a multiple of 3, an equal or larger number which is the product of factors.
What is three digit number with 2 and 9 as prime factors?
9 isn't prime, but one three-digit multiple of 18 is 108.
What is the least common multiple for three and eight?
24.
How do we know if a number is divisible by 3?
If the sum of the digits is a multiple of three, the whole number is a multiple of three.
What is the smallest positive integer N such that 2N is a perfect square 3N is a perfect cube and 5N is a perfect fifth?
For a number to be a perfect square, its prime factors must be separable into two identical sets. For a number to be a perfect cube, its prime factors must be separable into three identical sets. For a number to be a perfect 'fifth', its prime factors must be separable into five identical sets. ---- If N x 2 is separable into two identical sets of prime factors, then: * N must have an odd number of 2's in its prime factorisation. * All other prime factors of N must occur an even number of times. If N x 3 is separable into three identical sets of prime factors, then: * The prime factorisation of N must contain a number of 3's that is one less than a multiple of three. * All other prime factors of N must occur a number of times that is already a multiple of three. If N x 5 is separable into five identical sets of prime factors, then: * The prime factorisation of N must contain a number of 5's that is one less than a multiple of five. * All other prime factors of N must occur a number of times that is already a multiple of five. ---- From the above, we know that N's prime factorisation must contain 2's, 3's and 5's. How many times does 2 appear in the prime factorisation of N? - It must be an odd number. - It must be a multiple of three. - It must be a multiple of five. The smallest valid frequency is 15. How many times does 3 appear in the prime factorisation of N? - It must be an even number. - It must be one less than a multiple of three. - It must be a multiple of five. The smallest valid frequency is 20. How many times does 5 appear in the prime factorisation of N? - It must be an even number. - It must be a multiple of three. - It must be one less than a multiple of five. The smallest valid frequency is 24. ---- Therefore N = 215 x 320 x 524 = 6810125783203125000000000000000. That seems to be the smallest possible value.
How many factors does the number 130 have?
Eight factors.
Does senentyn has three factors?
It's difficult to tell what number you're asking about. 17 has two factors. 70 has eight factors.
Is 9 a factor of three?
No. 9 is a multiple of 3, an equal or larger number which is the product of factors.
What is a three digit number that has five consecutive numbers as its factors?
Any three-digit multiple of 60, from 120 to 960, has the first five counting numbers as factors.
What is three digit number with 2 and 9 as prime factors?
9 isn't prime, but one three-digit multiple of 18 is 108.
Can you explain to me why the multiples of any number other than 1 are not prime numbers?
13 is a prime number. 13, like every other prime number, has only two factors. The factors of 13 are 1 and 13. Any multiple of any number greater than one would have at least three factors: 1, the number, and the number it is a multiple of.
What are the multiples of eight and three?
Any multiple of 24.
What is the smallest common multiple of eight and three?
24
What is the least common multiple for three and eight?
24.
The number four has three factors What is the next number with exactly three factors?
The number 9: factors are 9, 3, and 1.
How do we know if a number is divisible by 3?
If the sum of the digits is a multiple of three, the whole number is a multiple of three.
Which 2 digit number has the most factors in their prime factorization?
If you're asking about distinct prime factors, there are eight numbers tied with three of them. If not, 64 has six twos.
