To find the prime factorization, divide 125125 by only prime numbers. Remember that prime numbers are whole numbers greater than 11 that are only evenly divisible by themselves and 11.
{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 532,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53, etc.}
Since 125125 ends in 55, it is evenly divisible by 55, which is a prime number. (How convenient!)
125 -: 5 = 25125÷5=25
2525 now has to be factored into its prime factors.
25 = 5 * 525=5⋅5
So, the prime factorization of 125125 is
125 = 5*5*5 = 5 ^3125=5⋅5⋅5=53
