Prime numbers don't factorize; they're already prime.
23 x 3 x 5 = 120
No. For example: 4181 / 37 = 113 so it can't be prime. But 4181 is the first composite number in the Fibonacci sequence with a prime index. ;)
It's more efficient. You want to end up with all prime numbers. You could divide by a composite number, but you'd just have to break that number down later. It saves steps.
23 x 32
You can use prime numbers to factorize numbers, a very useful tool
35 = 243
2 x 33 = 54
As a product of its prime factors: 23*3*5 = 120
The index notation of 294 is 2 x 3^5, where 2 is the base and 5 is the exponent. This means that 294 can be expressed as the product of 2 and 3 raised to the power of 5. In index notation, the number is broken down into its prime factors and expressed as a product of primes with corresponding exponents.
5^2
1, 2, 11, 22 2 and 11 are prime.
23 x 3 x 5 = 120
It is: 24*112 = 1936
48 = 24 x 3
15 = 31*51
Oh, that's a happy little question! Let's break it down gently. To express 96 as a product of its prime factors using index notation, we first find the prime factors of 96, which are 2 x 2 x 2 x 2 x 2 x 3. Then, we can write this as 2^5 x 3. And just like that, we've created a beautiful representation of 96 using its prime factors and index notation.
If you play the factor game, you factorize the number. If the number of factors are only 2 including 1 and number itself, then it is a prime.