Answer :
Answer:
122
Step-by-step explanation:
Number is:
- between 1 and 150
- one more than a square number = there are 12 square numbers, from 1²=1 to 12² = 144
- three less than a cube number , there are 5 cubes, 1³ = 1 to 5³ = 125
- it is not a prime number
Let's try the cubes because there are only 5 of them:
1³ = 1
- it won't work as after subtracting 3 we get negative;
2³ = 8
- subtract 3, we get 5 which is also 1 more than a square number of 4, however 5 is prime number so excluded;
3³ = 27
- subtract 3, we get 24, it won't work as 23 is not a perfect square;
4³ = 64
- subtract 3, we get 61, it won't work as 60 is not a perfect square, also 61 is a prime number;
5³ = 125
- subtract 3, we get 122, which is 1 more than 11²= 121 and is not a prime number, so this is the required number;
The number is between 1 and 150.
one more than a fair number = there are 12 square numbers, from 1²=1 to 12² = 144.
three less than a cube number, there are 5 cubes, 1³ = 1 to 5³ = 125
it is not a prime number.
What is the prime number?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself.
Let's try the cubes because there are only 5 of them
1³ = 1
It won't work as after subtracting 3 we get negative
2³ = 8
subtract 3, we get 5 which is also 1 more than a square number of 4, however, 5 is a prime number so excluded
3³ = 27
subtract 3, we get 24, it won't work as 23 is not a perfect square
4³ = 64
subtract 3, we get 61, it won't work as 60 is not a perfect square, also 61 is a prime number
5³ = 125
subtract 3, we get 122, which is 1 more than 11²= 121 and is not a prime number, so this is the required number.
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