22 Jun The factors are ##1## ##2## ##4## ##5## ##8## ##10## ##20##
The factors are ##1## ##2## ##4## ##5## ##8## ##10## ##20## ##40## I find factors in pairs It will look like more work than it is because I will explain how I am doing these steps. I do most of the work without writing it down. I’ll put the explanation in black in [brackets] and the answer in ##color(blue)blue##. I’ll proceed by starting with ##1## on the left and checking each number in order until either I get to a number already on the right or I get to a number greater than the of 40. ##color(blue)(1 xx 40)## [I see that 40 is divisible by 2 and do the division to get the next pair] ##color(blue)(2 xx 20)## [Now we check 3. But 40 is not divisible by 3. I usually write a number before I check so if a number is not a factor I cross it out.]] ##color(blue)cancel(3)## [Now we need to check 4. Up above we got ##40 = 2xx20## since ##20 = 2xx10## we see that ##40 = 2xx2xx10 = 4xx10##] ##color(blue)(4 xx 10)## [The next number to check is 5. We can either divide ##40 -: 5## to get ##8## or split up the ##10## in the last factor pair: ##40 = 4xx10 = 4xx2xx5=8xx5##] ##color(blue)(5xx8)## {Move on to 6. But 40 is not divisible by 6. — 6 is not a factor of 40. ##color(blue)cancel(6)## [40 is not divisible by 7.] ##color(blue)cancel(7)## The next number ##8## already appears on the list above (on the right). For numbers greater than ##8## to be factors of ##40## they would have to be multiplied by something less than the ##5## we use in ##8xx5=40##. We’ve already checked the smaller numbers so we’re done. The factors are ##1## ##2## ##4## ##5## ##8## ##10## ##20## ##40##
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