FIND FOUR DIFFERENT
SINGLE DIGIT NUMBERS
THAT MULTIPLY TOGETHER
TO GIVE 120.

IN HOW MANY DIFFERENT
WAYS CAN YOU ANSWER
THIS QUESTION?

## A Mathematics Lesson Starter Of The Day

Topics: Starter | Factors | Mental Methods | Number

• Transum,
•
• Every Starter of the Day has a related student activity. If your students have access to computers (laptops, desktops, iPads etc.) then the short URL to get them going can be found lower down the page. This is a great puzzle to do as a whole class or get the students working at their own speed with the interactive version found at Transum.org/go/?to=ThreeWays
If you get a chance we would all love to hear how you get on with this activity!
• Mr Magin, Stendal
•
• Year 7 class in Stendal, Germany, found 3 different ways.
• Pravitha, Bahrain
•
• Excellent, I would like to see more like this.

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## Answers

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.

Transum.org/go/?to=threeways

For Students:

For All: