What is the smallest prime number of 35 and 60
The question seems to be asking for the prime number that is closest to but less than both 35 and 60. The number in question has to be a prime and also has to be smaller than 35 since anything smaller than 35 will also be smaller than 60.
The prime numbers less than 35 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.
Since 31 is the largest prime number less than 35 (and also less than 60), it is the smallest prime number that is smaller than both 35 and 60. 31 is your answer.
no not the closest
Apologies for misunderstanding your question. If you are looking for the smallest prime number that is a factor of both 35 and 60, you should first find the prime factors of each number.
The prime factors of 35 are:
35 = 5 × 7
The prime factors of 60 are:
60 = 2 × 2 × 3 × 5 (or 2² × 3 × 5)
Now, we look for the smallest prime that is common to both lists. The prime numbers 5 and 7 are factors of 35, but only 5 is a factor of 60. Since we are interested in the number that factors into both 35 and 60, the smallest prime number that is a factor of both is 5.
To find the smallest prime number between 35 and 60, we need to check each number in that range and determine if it is prime or not.
A prime number is a number greater than 1 that is divisible only by 1 and itself. Therefore, we can start by checking if the number 35 is prime:
1. Check if the number 35 is divisible by any number between 2 and its square root (which is approximately 5.92). We can skip even numbers (except 2) because they will be divisible by 2.
- Divide 35 by 2: 2 does not divide 35.
- Divide 35 by 3: 3 divides 35.
- Divide 35 by 4: Since 4 is an even number, we can skip it.
- Divide 35 by 5: 5 does not divide 35.
Since 35 is divisible by 5, it is not a prime number.
Next, we can check if the number 36 is prime:
- Divide 36 by 2: 2 divides 36.
Since 36 is divisible by 2, it is not a prime number.
We continue this process until we reach number 60:
- Divide 60 by 2: 2 divides 60.
Since 60 is divisible by 2, it is not a prime number either.
Therefore, there is no prime number between 35 and 60.