What is the factor tree for 2-100?

Answer 1

102

Answer 2

We can eliminate the prime numbers. Since they have only one prime factor apiece, they don't need a tree.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

The next set has only two prime factors apiece, which would make only one branch, so I've listed them as a prime factor pair.

4: 2, 2

6: 2, 3

9: 3, 3

10: 2, 5

14: 2, 7

15: 3, 5

21: 3, 7

22: 2, 11

25: 5, 5

26: 2, 13

33: 3, 11

34: 2, 17

35: 5, 7

38: 2, 19

39: 3, 13

46: 2, 23

49: 7, 7

51: 3, 17

55: 5, 11

57: 3, 19

58: 2, 29

62: 2, 31

65: 5, 13

69: 3, 23

74: 2, 37

77: 7, 11

82: 2, 41

85: 5, 17

86: 2, 43

87: 3, 29

91: 7, 13

93: 3, 31

94: 2, 47

95: 5, 19

That leaves 8, 12, 16, 18, 20, 24, 27, 28, 30, 32, 36, 40, 42, 44, 45, 48, 50, 52, 54, 56, 60, 63, 64, 66, 68, 70, 72, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99 and 100 which have all been answered individually in other questions. Happy hunting.