I do not think that very much is needed here but you may like to have at your disposal the following charts to help you to explore it alongside the children.

360 Legs
Hum Rat H/R R/H
0 90 0
4 88 22
12 84 7
20 80 4
36 72 2
60 60 1 1
90 45 2
108 36 3
120 30 4
140 20 7
144 18 8
150 15 10
156 12 13
160 10 16
162 9 18
168 6 28
170 5 34
172 4 43
174 3 58
176 2 88
178 1 178

420 Legs
Hum
Rat H/R R/H
0 105 0
2 104 52
6 102 17
10 100 10
14 98 7
30 90 3
42 84 2
70 70 1 1
126 42 3
140 35 4
150 30 5
168 21 8
180 15 12
182 14 13
190 10 19
196 7 28
198 6 33
200 5 40
204 3 68
206 2 103
208 1 208
210 0 0
480 Legs
Hum Rat H/R R/H
0 120 0
16 112 7
48 96 2
80 80 1 1
120 60 2
144 48 3
160 40 4
180 30 6
192 24 8
200 20 10
208 16 13
210 15 14
216 12 18
220 10 22
224 8 28
228 6 38
230 5 46
232 4 58
234 3 78
236 2 118
238 1 238
240 0 0
540 Legs
Hum Rat H/R R/H
0 135 0
2 134 67
6 132 22
10 130 13
18 126 7
30 120 4
54 108 2
90 90 1 1
162 54 3
180 45 4
210 30 7
216 274 8
234 18 13
240 15 16
250 10 25
252 9 28
258 6 43
260 5 52
264 3 88
266 2 133
268 1 268
270 0 0
600 Legs
Hum Rat H/R R/H
0 150 0
4 148 37
12 144 12
20 140 7
60 120 2
100 100 1 1
150 75 2
180 60 3
200 50 4
240 30 8
250 25 10
260 20 13
270 15 18
276 12 23
280 10 28
288 6 48
290 5 58
292 4 73
294 3 98
296 2 148
298 1 298
300 0 0
660 Legs
Hum Rat H/R R/H
0 165 0
2 164 82
6 162 27
10 160 16
22 154 7
30 150 5
66 132 2
110 110 1 1
198 66 6
220 55 4
264 33 8
270 30 9
286 22 13
300 15 20
308 11 28
310 10 31
318 6 53
320 5 64
324 3 108
326 2 163
328 1 328
330 0 0

720 Legs Hum Rat H/R R/H 0 180 0 8 176 22 24 168 7 40 160 4 72 144 2 120 120 1 1 180 90 2 216 72 3 240 60 4 270 45 6 280 40 7 288 36 8 300 30 10 312 24 13 320 20 16 324 18 18 330 15 22 336 12 28 340 10 34 342 9 38 344 8 43 348 6 58 350 5 70 352 4 88 354 3 118 356 2 178 358 1 358 360 0 0