If the primes are of multiplicity 1, then the answer is 30030. Otherwise it is 64.
120=8x3x5, but 8 is not a prime. We write 8 as 23 .Now the prime factorization is 23 x3x5. We stop because all the factors are primes raised to an exponent power..
53 is a prime number so there is no relevant prime factorization for it.
prime factorization
The prime factorization of a number uses only primes. Ex: The prime factorization of 12 is not 6 x 2, and not 4 x 3, because 6 and 4 are not prime numbers. The prime factorization is 2 x 2 x 3. Their product is 12 and all factors are prime numbers. To get a prime factorization you are usually taught to factor through division by small prime numbers, sometimes you must use the same number more than once as in the example of 12 above 2 was used twice. Ex: find the prime factorization of 18. The smallest prime is 2... divide by 2 18 / 2 = 9 .... for the next step divide 9 by a prime 9 / 3 = 3 ... this is a prme ... it is also a factor so the prime factorization is 18 = 2x3x3 Ex. find the prime factorization of 35. 35 cannot be divided by 2, or 3, so use 5 first 35 / 5 = 7 .... since 7 is a prime we are finished. The prime factorization of 35 is 35 = 5 x 7 Some teachers teach this using a "factor tree" .. I can't type one of those on a computer.
the prime factorization
8 has three primes (2x2x2) in its factorization, and 30 is the smallest number having three different primes (2x3x5) in its factorization.
The smallest number that has six different primes in its prime factorization is 30030 (2 x 3 x 5 x 7 x 11 x 13).
The prime factorization.
217 = 7x31 and both of those are primes for that is its prime factorization! Dr. Chuck
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Writing a number as the product of its prime factors is called prime factorization.
To find the smallest possible value of the original number that results in 8100, we need to consider its prime factorization. The prime factorization of 8100 is ( 2^2 \times 3^4 \times 5^2 ). The smallest possible value for the original number is the product of the smallest primes raised to their respective powers, which is 8100 itself. Therefore, the smallest possible value of the original number is 8100.
That's known as a prime factorization.
Powers of primes
It is called the prime factorisation (or prime decomposition) of the composite number.
To write 39 as a product of primes, you need to factor it into its prime components. Start by dividing 39 by the smallest prime number, which is 3: (39 \div 3 = 13). Since 13 is also a prime number, the prime factorization of 39 is (3 \times 13). Thus, 39 can be expressed as the product of primes: (3 \times 13).
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