Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
Just multiply the first five prime numbers! 2x3x5x7x11 = 6x35x11 = 210x11 = 2310. Any multiple of this number "has the first five prime numbers as factors", but 2310 is the smallest such number.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
Multiply prime squares by themselves. 24, 34, 54 all have five factors.
105, 210, 315, 420, 525
Five identical prime factors : 32, 96. Four identical prime factors : 16, 48, 80, as well as 81. Three identical prime factors : 8, 24, 40, 56, 72, 88, as well as 27, 54. Two identical prime factors : All multiples of 4 not yet listed (4, 12, 20...), all multiples of 9 not yet listed (9, 18, 36...), as well as 25, 50, 75, 100, and 49 and 98. Your teacher forgot "six identical prime factors" : 64.
There are no prime numbers with three factors. By definition, a prime number has exactly two factors - 1 and itself.
Five and seven.
Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.
Just multiply the first five prime numbers! 2x3x5x7x11 = 6x35x11 = 210x11 = 2310. Any multiple of this number "has the first five prime numbers as factors", but 2310 is the smallest such number.
105, 210, 315
5 is a prime number and has no factors other than 1 and itself.
It is 2310.
The first prime numbers are 2, 3, 5, 7, 11. When multiplied together the product is 2310. It is the smallest number that has the first five numbers as its factors.
Start with the factors. Multiply combinations of three prime factors, then combinations of five, then seven, etc. All generated numbers will be guaranteed to have an odd number of prime factors.
Somewhere in front of you was a list of numbers. The instructions were asking you to break down the numbers and write them as a product of their prime factors. This is known as the prime factorization. The prime factorization of 30 is 2 x 3 x 5.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime.