I'll take this question to mean:
"What is the smallest possible product of two different prime numbers?"
# 0
# 3 # 5 # 6 You've provided two requirements:
# The number must have two factors. # Both factors must be prime. Let's break down the following into possible factors:
0 = 0
3 = 3 * 1
5 = 5 * 1
6 = 1 * 6, 2 * 3
Since neither 0 nor 1 are prime numbers, we're left with only one option.
2 * 3 = 6
It is 27,000.
2×3×5×7=210
The least number that is the product of two different primes that are squared is 6. This is because 6 is the product of 2 (which is squared as 2^2) and 3 (which is squared as 3^2), both of which are prime numbers. Any smaller number would not be the product of two different primes that are squared.
The smallest prime factors are 2,3,5,7 thus the smallest number would be the product of these will be 210
9 is the smallest natural number that is odd and composite: 9=3*3. 15 is the smallest natural number that is odd and a product of two numbers different from one and from each other: 15=3*5.
It is 27,000.
30
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
If the number is a product of two composite numbers, it must be 16, which is the product of 4 and 4. The prime factors of 16 are 2, 2, 2, and 2. The smallest composite number is 4, so the smallest possible product of two composite numbers is 4 x 4 = 16.
When a numbers is multiplied by 13 product consist of all 5's the smallest such numbers is?
1155, 3x5x7x11=1155.
2×3×5×7=210
The least number that is the product of two different primes that are squared is 6. This is because 6 is the product of 2 (which is squared as 2^2) and 3 (which is squared as 3^2), both of which are prime numbers. Any smaller number would not be the product of two different primes that are squared.
The two smallest prime numbers are 2 & 3. Their product is thus, 2 x 3 = 6.
Logically, the smallest number with 4 different prime factors would have to be the product of the smallest four prime numbers. So the smallest natural number with four different prime factors is 210 (2*3*5*7).
Forming three three digit numbers that use the numbers 1-9 without repeating, the highest product possible is 611,721,516. This is formed from the numbers 941, 852, and 763.
There are no such numbers. The smallest set of three consecutive composite numbers is {8, 9, 10} and the product of these numbers is 720.