Rewrite the expression as a product of interventional factors to find the product for 103 to submit your answer in simplest for the
The expression "103 as a product of its prime factors" means that we need to express 103 as a multiplication of its prime numbers.
The prime factorization of 103 is itself since 103 is a prime number.
Therefore, the product of the prime factors of 103 is simply 103.
Rewrite the expression as a product of idenitical
factors to find the product for 100 3/2 submit your answer in simplified form
To rewrite the expression 100 3/2 as a product of identical factors, we need to convert the mixed number 100 3/2 to an improper fraction.
The improper fraction equivalent of 100 3/2 is:
100 3/2 = (100 * 2 + 3)/2 = 203/2
We can then rewrite 203/2 as a product of identical factors by multiplying the numerator and denominator by the same number that will make the denominator equal to 1. In this case, we can multiply both the numerator and denominator by 2, resulting in:
(203/2)*(2/2) = (203*2)/(2*2) = 406/4
So, the product of identical factors for 100 3/2 is 406/4.
To rewrite the expression 103 as a product of prime factors, we start by dividing it by the smallest prime number possible, which is 2. However, 103 is an odd number, so it cannot be divided evenly by 2.
Next, we try dividing it by the next prime number, which is 3. Again, 103 leaves a remainder of 1, indicating that it is not divisible by 3.
Moving on, we try dividing by the next prime number, which is 5. But since 103 is not divisible by 5, we continue.
After that, we attempt division by the next prime number, which is 7. Unfortunately, 103 is still not divisible by 7.
Finally, we try dividing by the next prime number, which is 11. Once again, 103 does not evenly divide by 11.
At this point, we can conclude that 103 itself is a prime number since it cannot be divided by any prime numbers less than itself.
Therefore, the prime factorization of 103 is simply 103.
To find the product of the prime factors, we multiply them together:
103 = 103
Thus, the product of the prime factors of 103 is 103.
To rewrite the expression 103 as a product of prime factors, we need to find the prime numbers that divide evenly into 103. Here's how you can do it:
1. Start by dividing 103 by the smallest prime number, which is 2. Since 103 is an odd number and not divisible by 2, we move on to the next prime number.
2. Divide 103 by the next prime number, which is 3. Again, 103 is not divisible by 3.
3. Continue dividing by prime numbers until you find one that evenly divides into 103. The next prime number is 5, but it doesn't divide evenly into 103 either.
4. Keep going until you reach the square root of 103, which is approximately 10.15. Since there are no prime numbers between 5 and 10.15, we can conclude that 103 is a prime number itself.
Therefore, the expression 103 can be written in its simplest form as the product of only one prime number: 103.