270000 = 27 x 10000 = 27 x 10^4 = 27 x 2^4 x 5^4 = 2^4 x 3^3 x 5^4
2 x 5 = 10 2^4 x 5^4 = 10000 2^4 x 3^3 x 5^4 = 270000
27 x 10,000 = 270,000 33 x 104 = 270,000 104 = 24 x 54 24 x 33 x 54 = 270,000
Powers of primes
When all the factors are prime numbers, that's a prime factorization.
a prime factorization tree
270000 = 27 x 10000 27 = 3 x 3 x 3 10000 = 10^4 = 2^4 x 5^4 The prime factorization of 270000 = 2^4 x 3^3 x 5^4
270000 = 27 x 10000 27 = 3 x 3 x 3 10000 = 10^4 = 2^4 x 5^4 The prime factorization of 270000 = 2^4 x 3^3 x 5^4
2 x 5 = 10 2^4 x 5^4 = 10000 2^4 x 3^3 x 5^4 = 270000
27 x 10,000 = 270,000 33 x 104 = 270,000 104 = 24 x 54 24 x 33 x 54 = 270,000
Powers of primes
270,000 has a prime factorization of: 2*2*2*2*3*3*3*5*5*5*5
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
53 is a prime number so there is no relevant prime factorization for it.
The only number with that prime factorization has to be 48.
When all the factors are prime numbers, that's a prime factorization.
421 is a prime number so it does not have prime factorization.
91 cannot be in the prime factorization of any number because it is not a prime number itself.