The prime factorization of 225 is 3 * 3 * 5 * 5 or 3^2 * 5^2.
To work out the prime factors of a number, it helps to divide it by obvious factors first. In this case, the number ends in a 5, so we know we can divide it by 5. Do this and we are left with 45. This is known from times tables to be 9x5, and 9 can be split up into 3 and 3. Thus we have finished prime factorizing 225. The prime factors of it are 5, 5, 3 and 3.
3 x 3 x 5 x 5 = 225
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For a start, look at the last digit. Since it 5, the number is divisible by 5. Divide it by five, to get 5 x ... (some other factor). Continue looking for other prime factors in this remaining factor, until you only get prime numbers. (225 is also divisible by 3.)
The prime factorization of 225 is 32 x 52
225 prime factors are 32 and 52
225
5 The prime factorization of 225 is 2*2*5*5.
32 x 52 = 225