1. Multiples of 5: 5, 10, 15, 35
Multiples of 30: 30 (not in list), so none
Both: 15, 30 (30 not in list, so only 15 if 30 were present — but 30 is not in the given numbers, so intersection is empty for available numbers)
Correction: Given numbers: 1, 12, 15, 10, 2, 5, 35, 3, 8
Multiples of 5: 5, 10, 15, 35
Multiples of 30: none (since 30 not in list and no other multiple of 30 is present)
Intersection (multiples of both 5 and 30): since 30’s multiples are also multiples of 5, but none of the numbers are multiples of 30, so intersection is empty.
So:
Left circle (only multiples of 5): 5, 10, 15, 35
Right circle (only multiples of 30): none
Intersection: none
2. Multiples of 3: 12, 21, 18, 30, 42
Multiples of 7: 21, 14, 35, 42
Both: 21, 42
So:
Left circle (only multiples of 3): 12, 18, 30
Right circle (only multiples of 7): 14, 35
Intersection: 21, 42
3.
Number | Multiple of 3? | Multiple of 36?
4 | No | Yes
6 | Yes | No
10 | No | No
12 | Yes | No
15 | Yes | No
21 | Yes | No
Parent Tip: Review the logic above to help your child master the concept of math worksheet for factors and multiples.
