2 x 3 x 5 x 5 x 7 = 1050
The prime factorization of 1050 is (2 \times 3 \times 5^2 \times 7). The distinct prime numbers that multiply to give 1050 are 2, 3, 5, and 7. Since there are only four distinct prime factors, it’s not possible to identify five different prime numbers that multiply to 1050. Therefore, the answer includes only these four primes: 2, 3, 5, and 7.
five is clearly prime : one and its self as factors
There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.
Five and seven.
Five has no even factors and is therefore a prime number. 5 is a prime number. Its only factors are one and itself.
1. That is to say, they have no prime factors in common.
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
There are not five prime factors of 7. There is only one prime factor of 7 because 7 is a prime number. The factors of 7 are 1 and 7; the prime factor of 7 is 7.
Five and 23 are the two prime factors of 115.
Five twos.
The best way to tackle this is to take the largest 3 digit number (999) and work out its prime factors. You can then work down until you get one with exactly five prime factors. 999 is 3x3x3x37, 998 is 2x499, 997 is prime, 996 is 2x2x3x83, 995 is 5x199, 994 is 2x7x71, 993 is 3x331, 992 is 2x2x2x2x2x31, 991 is prime, 990 is 2x3x3x5x11. That is the first we came across with five prime factors. Therefore the largest 3 digit number with exactly five prime factors is 990.
105, 210, 315