What is my number?
Clue 1: My number is a multiple of 5, but it does not end in 5.
Clue 2: The prime factorization of my number is a string of three numbers.
Clue 3: Two of the numbers in the prime factorization are the same.
Clue 4: My number is bigger than the seventh square number.
how can i make a factorization string for the number 48
I would start with the seventh square number
1, 4, 9, 16, 25, 36, 49
so it is bigger than 49
then factor
50, 60, 70, and so on. See which has three prime factors, two of which are the same.
I believe it is 100
To determine your number, let's break down each clue and find the answer step by step:
Clue 1: Your number is a multiple of 5, but it does not end in 5.
This means your number can be any multiple of 5 that does not have a 5 as its units digit. Some examples could be 10, 20, 30, 40, etc.
Clue 2: The prime factorization of your number is a string of three numbers.
The prime factorization of a number is the expression of that number as a product of prime numbers. Since the prime factorization of your number is a string of three numbers, it means your number is the product of three prime numbers.
Clue 3: Two of the numbers in the prime factorization are the same.
This clue tells us that two of the prime numbers in the prime factorization of your number are repeated. For example, if the prime factorization of your number is 2 x 2 x 3, then two of the numbers (2) are the same.
Clue 4: Your number is bigger than the seventh square number.
To find the seventh square number, we can start by listing the square numbers: 1, 4, 9, 16, 25, 36, 49. The seventh square number is 49. Since your number is bigger than 49, it must be 50 or greater.
Combining all the clues, we can deduce that your number is a multiple of 5 that does not end in 5, has a prime factorization consisting of three prime numbers (with two of them being the same), and is greater than 49. From the information given, we cannot determine the exact number without any additional clues or information.