Prime factorization or integer factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number. This is also known as prime decomposition.
What is the exponent of 2 in prime factorization?
4
Therefore, the exponent of 2 in the prime factorization of 144 is 4. Hence, the correct option is (B).
What is the exponent of 2 in the prime factorization of 336?
21 : 2 = 10½ — oops! So 336 is divisible by 2 four times. This means that the exponent of 2 in the prime factorisation of 336 is 4.
How to find the prime factorization with exponents?
Remember that exponents tell us how many times to multiply a certain number together. For example, 23 means we multiply 2 three times (23 = 2 * 2 * 2). For the prime factorization of 12, we can add in exponents and rewrite our prime factorization with the exponents like this: 12 = 2 * 2 * 3 = 22 * 3.
Can you change the Order of prime factorization?
However, since it doesn’t matter what order you multiply numbers in, we can get rid of the parenthesis, and change the order. Let’s move all the twos so they’re together and all the threes are together. The prime factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3.
How to find the prime factorization of 6?
So, we can say that 6 can be broken down to 2 * 3. We call this process prime factorization, the breaking down of a number into the prime numbers that multiply to the original number. For example, the prime factorization of 6 is 2 * 3. Once we reach 2 * 3, we can’t go any further because they are both prime numbers.
Which is the prime factorization of a composite number?
A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number. The prime factorization of 96 = 2 5 •3.
