#Highly divisible triangular number #Problem 12 # #The sequence of triangle numbers is generated by adding the natural numbers. #So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first #ten terms would be: # #1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... # #Let us list the factors of the first seven triangle numbers: # # 1: 1 # 3: 1,3 # 6: 1,2,3,6 #10: 1,2,5,10 #15: 1,3,5,15 #21: 1,3,7,21 #28: 1,2,4,7,14,28 #We can see that 28 is the first triangle number to have over five divisors. # #What is the value of the first triangle number to have over five hundred #divisors? # #Solution: # iiiiiiiiiiiiiiiiii kjk jkj kjkj j