What prime number am I?

• I have three prime factors
• each prime factor is a different number
• I am a multiple of 10
• I am less than 50

Please help answer this question??

If you are a multiple of ten you are not a prime number.

30 = 3 * 2 * 5

To find the prime number that satisfies the given conditions, you can analyze the provided information step by step.

1. Start with prime numbers less than 50: The prime numbers less than 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

2. Identify numbers that are multiples of 10: Multiples of 10 end with a zero and, in this case, need to be less than 50. The multiples of 10 less than 50 are 10, 20, 30, and 40.

3. For each of the potential numbers, list three different prime factors: Calculate the prime factors of each number and check if they satisfy the condition of having three different prime factors.

• For 10: The factors of 10 are 2 and 5. However, since 2 and 5 are the same as the prime factors of 10, it doesn't fulfill the condition of having three different prime factors.
• For 20: The factors of 20 are 2, 2, and 5. It has three different prime factors (2 and 5), but the number is not a prime number itself; it is divisible by 2.
• For 30: The factors of 30 are 2, 3, and 5. It has three different prime factors (2, 3, and 5), but it is not a prime number as it is divisible by 2 and 3.
• For 40: The factors of 40 are 2, 2, 2, and 5. It has three different prime factors (2 and 5), but it is not a prime number as it is divisible by 2.

4. From the analysis, we can see that none of the numbers meet all the criteria: being a multiple of 10, having three different prime factors, and being less than 50.

Therefore, there is no prime number that satisfies all the given conditions.