Between 1 and 100 how many multiples of 7 are odd numbers?

Answer 1

Start out looking at them. 7x1=7 odd 7x2=14 even 7x3=21 odd 7x4=28 even 7x5=35 odd 7x6=42 even... so it looks like half might be even and half odd, This is because if we look at the numbers 1-14, ie 1,2,3,4,5,6,7,8,9,10,11,12,13. and 14, they alternate odd and even and since 7 is odd and odd times an even is always an even number and an odd times an odd is always an odd number. So to answer the question we need only look at the number of odd numbers between 1 and 14 inclusive. There are 6 so 1,3,5,7,9,11,13 give odd multiples ANSWER: so 7 odd multiples of 7 between 1 and 100