2^7
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128 = 27
Prime factorization is breaking down a number into all of the prime numbers that make it up.For example, in 128, since it is even, the easiest first step would be diving by two, a prime number.64 * 2 = 128. Now divide 64, another even number, by two.32 * 2 * 2 = 128. Divide 32 by two.16 * 2 * 2 * 2 = 128. Divide by two again.8 * 2 * 2 * 2 * 2 = 128. Divide by two again.4 * 2 * 2 * 2 * 2 * 2 = 128. Divide by two a final time.2 * 2 * 2 * 2 * 2 * 2 * 2 = 128. This is your prime factorization.But you write it condensed, so 27 would be the prime factorization for 128.
The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?
The prime factorization of 128 is: 2 x 2 x 2 x 2 x 2 x 2 x 2 or 27
128 64,2 32,2,2 16,2,2,2 8,2,2,2,2 4,2,2,2,2,2 2,2,2,2,2,2,2