150 is not an odd number, it is even
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There are 12 numbers less than 150 which have an odd number of factors: 1,4,9,16,25,36,49,64,81,100,121,144.
odd
An odd number times an odd number is an odd number no matter which 2 odds you multiply.
22,500. 1 + 299 = 300, 3 + 297 = 300, 5 + 295 = 300,…147 + 153 = 300, 149 + 151= 300. There are 75 odd numbers pairs from 1 to 299, and each odd number pair equals 300. The total is 75 x 300 = 22,500.
If the last number is odd or even then the whole number is odd or even, in this case the last number is 3 which is an odd number, therefore the whole number is odd.