We note that '125' ends in '5'. So it will divide by '5', which is a Prime number.
Hence
5)125
5)25
5)5 = 1
Keep dividing by any prime number, that will go into the answer, in this case '5'.
So
5 x 5 x 5 = 5^(3) = 125
NB
Any number that ends in '5' or '0' will divide by '5'.
Any number that ends with an EVEN number will divide by '2'.
Any number were the digits sum to '9' will divide by '9'. e.g. 27 ; 2 + 7 = 9
27/9 = 3
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The prime factorization of 125 is: 5×5×5
The prime factorization for 125 is:5 X 5 x 5125 is the cube of 55x5x5
125 = 53
53 = 125
*)1 5)5 5)25 5)125 The prime factorization of 125 is 5 x 5 x 5.