Find all the numbers between 1 and 1000 that have 2 their only prime factor?
I can't do it alone some help me!!!!!!!!!!!
The only such numbers are the powers of 2 that are < 1000: 2, 4, 8, 16, 32, 64, 128, 256, and 512. All other numbers are either non-prime or, if prime, are not divisible by 2,
hi i want to see if this works
Sure, I can help you with that.
To find all the numbers between 1 and 1000 that have 2 as their only prime factor, we need to look for numbers that are powers of 2.
Step 1: Start with the smallest power of 2, which is 2 raised to the power of 0. This equals 1.
Step 2: Increment the exponent by 1 and calculate the next power of 2. Continue this process until the power of 2 exceeds 1000.
Here's a step-by-step breakdown of the process:
1. Start with 2^0 = 1
2. Increment the exponent by 1: 2^1 = 2
3. Increment the exponent by 1: 2^2 = 4
4. Increment the exponent by 1: 2^3 = 8
5. Increment the exponent by 1: 2^4 = 16
6. Increment the exponent by 1: 2^5 = 32
7. Increment the exponent by 1: 2^6 = 64
8. Increment the exponent by 1: 2^7 = 128
9. Increment the exponent by 1: 2^8 = 256
10. Increment the exponent by 1: 2^9 = 512
11. Increment the exponent by 1: 2^10 = 1024 (which is greater than 1000, so we stop here)
Therefore, the numbers between 1 and 1000 that have 2 as their only prime factor are: 1, 2, 4, 8, 16, 32, 64, 128, 256, 512.
I hope this helps! Let me know if you have any further questions.
To find all the numbers between 1 and 1000 that have 2 as their only prime factor, you can follow these steps:
1. Start with the number 2.
2. Multiply it by 2 repeatedly, until you reach a number that is greater than 1000.
3. Keep track of each number you obtain.
4. Repeat steps 2 and 3 until there are no more numbers left.
Here's an explanation of each step:
1. Start with the number 2 because it is the smallest prime number and the only prime factor you are interested in.
2. Multiply the number 2 by 2 repeatedly. This will give you a series of numbers with 2 as the only prime factor: 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, and so on. Stop once you reach a number that is greater than 1000.
3. Keep track of each number obtained. In this case, the numbers between 1 and 1000 that have 2 as their only prime factor are: 2, 4, 8, 16, 32, 64, 128, 256, 512.
4. Repeat steps 2 and 3 until there are no more numbers left. In this case, we stop at the number 512 because it is the last number that is smaller than or equal to 1000.
By following these steps, you can find all the numbers between 1 and 1000 that have 2 as their only prime factor. In this case, the numbers are 2, 4, 8, 16, 32, 64, 128, 256, 512.