FIND FOUR DIFFERENT
SINGLE DIGIT NUMBERS
THAT MULTIPLY TOGETHER
TO GIVE 120.
IN HOW MANY DIFFERENT
WAYS CAN YOU ANSWER
THIS QUESTION?
Topics: Starter  Factors  Mental Methods  Number
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48 can be made in 2 different ways:
1 x 2 x 3 x 8 = 48
1 x 2 x 4 x 6 = 48
60 can be made in 2 different ways:
1 x 2 x 5 x 6 = 60
1 x 3 x 4 x 5 = 60
72 can be made in 2 different ways:
1 x 2 x 4 x 9 = 72
1 x 3 x 4 x 6 = 72
84 can be made in 2 different ways:
1 x 2 x 6 x 7 = 84
1 x 3 x 4 x 7 = 84
90 can be made in 2 different ways:
1 x 2 x 5 x 9 = 90
1 x 3 x 5 x 6 = 90
96 can be made in 2 different ways:
1 x 2 x 6 x 8 = 96
1 x 3 x 4 x 8 = 96
108 can be made in 2 different ways:
1 x 2 x 6 x 9 = 108
1 x 3 x 4 x 9 = 108
120 can be made in 3 different ways:
1 x 3 x 5 x 8 = 120
1 x 4 x 5 x 6 = 120
2 x 3 x 4 x 5 = 120
126 can be made in 2 different ways:
1 x 2 x 7 x 9 = 126
1 x 3 x 6 x 7 = 126
144 can be made in 3 different ways:
1 x 2 x 8 x 9 = 144
1 x 3 x 6 x 8 = 144
2 x 3 x 4 x 6 = 144
168 can be made in 3 different ways:
1 x 3 x 7 x 8 = 168
1 x 4 x 6 x 7 = 168
2 x 3 x 4 x 7 = 168
180 can be made in 2 different ways:
1 x 4 x 5 x 9 = 180
2 x 3 x 5 x 6 = 180
192 can be made in 2 different ways:
1 x 4 x 6 x 8 = 192
2 x 3 x 4 x 8 = 192
210 can be made in 2 different ways:
1 x 5 x 6 x 7 = 210
2 x 3 x 5 x 7 = 210
216 can be made in 3 different ways:
1 x 3 x 8 x 9 = 216
1 x 4 x 6 x 9 = 216
2 x 3 x 4 x 9 = 216
240 can be made in 3 different ways:
1 x 5 x 6 x 8 = 240
2 x 3 x 5 x 8 = 240
2 x 4 x 5 x 6 = 240
252 can be made in 2 different ways:
1 x 4 x 7 x 9 = 252
2 x 3 x 6 x 7 = 252
270 can be made in 2 different ways:
1 x 5 x 6 x 9 = 270
2 x 3 x 5 x 9 = 270
280 can be made in 2 different ways:
1 x 5 x 7 x 8 = 280
2 x 4 x 5 x 7 = 280
288 can be made in 2 different ways:
1 x 4 x 8 x 9 = 288
2 x 3 x 6 x 8 = 288
336 can be made in 3 different ways:
1 x 6 x 7 x 8 = 336
2 x 3 x 7 x 8 = 336
2 x 4 x 6 x 7 = 336
360 can be made in 3 different ways:
1 x 5 x 8 x 9 = 360
2 x 4 x 5 x 9 = 360
3 x 4 x 5 x 6 = 360
378 can be made in 2 different ways:
1 x 6 x 7 x 9 = 378
2 x 3 x 7 x 9 = 378
420 can be made in 2 different ways:
2 x 5 x 6 x 7 = 420
3 x 4 x 5 x 7 = 420
432 can be made in 3 different ways:
1 x 6 x 8 x 9 = 432
2 x 3 x 8 x 9 = 432
2 x 4 x 6 x 9 = 432
480 can be made in 2 different ways:
2 x 5 x 6 x 8 = 480
3 x 4 x 5 x 8 = 480
504 can be made in 3 different ways:
1 x 7 x 8 x 9 = 504
2 x 4 x 7 x 9 = 504
3 x 4 x 6 x 7 = 504
540 can be made in 2 different ways:
2 x 5 x 6 x 9 = 540
3 x 4 x 5 x 9 = 540
576 can be made in 2 different ways:
2 x 4 x 8 x 9 = 576
3 x 4 x 6 x 8 = 576
630 can be made in 2 different ways:
2 x 5 x 7 x 9 = 630
3 x 5 x 6 x 7 = 630
672 can be made in 2 different ways:
2 x 6 x 7 x 8 = 672
3 x 4 x 7 x 8 = 672
720 can be made in 2 different ways:
2 x 5 x 8 x 9 = 720
3 x 5 x 6 x 8 = 720
756 can be made in 2 different ways:
2 x 6 x 7 x 9 = 756
3 x 4 x 7 x 9 = 756
840 can be made in 2 different ways:
3 x 5 x 7 x 8 = 840
4 x 5 x 6 x 7 = 840
864 can be made in 2 different ways:
2 x 6 x 8 x 9 = 864
3 x 4 x 8 x 9 = 864
1008 can be made in 2 different ways:
2 x 7 x 8 x 9 = 1008
3 x 6 x 7 x 8 = 1008
1080 can be made in 2 different ways:
3 x 5 x 8 x 9 = 1080
4 x 5 x 6 x 9 = 1080
1512 can be made in 2 different ways:
3 x 7 x 8 x 9 = 1512
4 x 6 x 7 x 9 = 1512
Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a number of times that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click a button below to regenerate another version of this starter with a different target number.
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Teacher, do your students have access to computers such as tablets, iPads or Laptops? This page was really designed for projection on a whiteboard but if you really want the students to have access to it here is a concise URL for a version of this page without the comments: Transum.org/go/?Start=October18 However it would be better to assign one of the student interactive activities below. 

Here is the URL which will take them to a great online activity based on the same idea and allow them to earn virtual trophies for each set of three ways the find of making a target number.