Sure. All composite numbers can be written as a product of primes. It shouldn't be tough to find a composite number that's the sum of three other composite numbers.
Let's try 30. 2 x 3 x 5 = 30 Product of primes, check. 6 (2 x 3) + 10 (2 x 5) + 14 (2 x 7) = 30 Sum of three products of primes, check.
Since there are infinitely many primes, there are infinitely many numbers that are products of 3 primes.
3
It's the product of the first three primes.
There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.
To find how many numbers less than 100 are the product of 3 distinct primes, we can consider combinations of distinct primes. The smallest three distinct primes are 2, 3, and 5, whose product is 30. The next combination, 2, 3, and 7, gives 42, and continues with combinations like 2, 5, and 7 (70) and 3, 5, and 7 (105, which exceeds 100). Thus, the valid products less than 100 are 30, 42, and 70, leading to a total of 3 such numbers.
Since there are infinitely many primes, there are infinitely many numbers that are products of 3 primes.
3
It's the product of the first three primes.
70
There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.
To find how many numbers less than 100 are the product of 3 distinct primes, we can consider combinations of distinct primes. The smallest three distinct primes are 2, 3, and 5, whose product is 30. The next combination, 2, 3, and 7, gives 42, and continues with combinations like 2, 5, and 7 (70) and 3, 5, and 7 (105, which exceeds 100). Thus, the valid products less than 100 are 30, 42, and 70, leading to a total of 3 such numbers.
If by "least number" you mean "smallest positive integer", then the answer is the product of the three smallest primes: 2x3x5 = 30
Numbers that have 2 factors are prime numbers; Numbers that have 4 factors are either: * the cube of a prime; or * the product of two different primes; Numbers that have 8 factors are either: * a prime to the power 7; * the product of a prime cubed and different prime; * the product of three different primes.
Three example of an intangible product
This question cannot be answered because three odd primes always have an odd number for their sum.
No.
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