Alice wants to find all the prime factors of the number you get when you multiply 17•11•13•7. She thinks she has to use a calculator to pay Sam although
multiplications and then find the prime factorization of the resulting number. Do you agree? Why or why not?
I believe the questin is. Alice wants to find all the prime factors of the number you get when you multiply 17 · 11 · 13 · 7. She thinks she has to use a calculator to perform all the multiplications and then find the prime factorization of the resulting number. Do you agree? Why or why not?.
I agree because it will make it easier
No, I don't agree that Alice needs a calculator to find the prime factors of the number obtained by multiplying 17, 11, 13, and 7. The prime factorization can be found without using a calculator by following a simple step-by-step process.
To find the prime factorization of a number, you need to break it down into its prime factors, which are prime numbers that can divide the number exactly without any remainder.
So, in this case, Alice can find the prime factors of the number by following these steps:
1. Start with the given number, which is the product of 17, 11, 13, and 7: 17 * 11 * 13 * 7.
2. Begin by dividing the number by the smallest prime number, which is 2. However, none of the given numbers (17, 11, 13, 7) are divisible by 2, so we move on to the next prime number.
3. The next prime number is 3. Again, none of the given numbers are divisible by 3.
4. The next prime number is 5, but none of the given numbers are divisible by 5 either.
5. The next prime number is 7, and since 7 is included in the multiplication, the number is divisible by 7.
6. Divide the number by 7: (17 * 11 * 13 * 7) ÷ 7 = 17 * 11 * 13. Now, we have a new number to work with.
7. Repeat the process by checking the divisibility of the new number by prime numbers starting from 2.
8. Continue dividing until the new number cannot be divided any further by prime numbers.
9. The resulting numbers obtained after division will be the prime factors of the original number.
In this case, the prime factors of the number obtained by multiplying 17, 11, 13, and 7 are 17, 11, and 13. Therefore, Alice can find the prime factorization of the number without using a calculator, just by systematically checking the divisibility of the numbers by prime numbers.