Find the number of ways that 75 can be expressed as the sum of two or more consecutive positive integers.
1 - 37 to 38 = 75
2 - 24 to 26 = 75
3 - 13 to 17 = 75
4 - 10 to 15 = 75
5 - 3 to 12 = 75
Find the number of ways that 75 can be expressed as the sum of two or more consecutive positive integers.
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x+x+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10+x+11+x+12=75
13x=75-78
x=-3/13
x+x+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10+x+11=75
12x=75-66
x=9/12
x+x+1+x+2+x+3+x+4+x+5+x+6+x+7+x+8+x+9+x+10=75
11x=75-55
x=20/11
10x=75-45
x=3 | 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
9x=75-36
x=93/11
8x=75-28
x=47/8
7x=75-21
x=54/7
6x=75-15
x=10 | 10, 11, 12, 13, 14, 15
5x=75-10
x=13 | 13, 14, 15, 16, 17
4x=75-6
x=69/4
3x=75-3
x=24 | 24, 25, 26
2x=75-1
x=37 | 37, 38
The number of ways that 75 can be expressed as the sum of two or more consecutive positive integers is 5.
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