Let’s go through each problem one by one. We’ll check if it’s possible to find an example, and if so, write it down. If not, we’ll say “Impossible”.
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1) A multiple of 7 between 80 and 90.
Multiples of 7:
7 × 11 = 77 → too low
7 × 12 =
84 → yes! Between 80 and 90
7 × 13 = 91 → too high
✔ So,
84 works.
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2) A factor of 50 between 11 and 20.
Factors of 50: 1, 2, 5, 10, 25, 50
Which ones are between 11 and 20? None.
25 is too big, 10 is too small.
✘ So, this is
Impossible.
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3) A prime number between 44 and 50.
Numbers between 44 and 50: 45, 46, 47, 48, 49
Check which are prime:
- 45 → divisible by 5 → not prime
- 46 → even → not prime
- 47 → only divisible by 1 and itself →
✔ PRIME
- 48 → even → not prime
- 49 → 7×7 → not prime
✔ So,
47 works.
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4) An odd multiple of 6 which is less than 100.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96...
All multiples of 6 are EVEN (because 6 is even — any multiple of an even number is even).
So there is NO odd multiple of 6.
✘ This is
Impossible.
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5) A prime number between 32 and 36.
Numbers: 33, 34, 35
- 33 → 3×11 → not prime
- 34 → even → not prime
- 35 → 5×7 → not prime
No primes here.
✘ This is
Impossible.
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6) An even prime number.
Prime numbers have exactly two factors: 1 and themselves.
The only even prime number is
2, because all other even numbers are divisible by 2 (so they have more than two factors).
✔ So,
2 works.
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7) An odd number under 50 with at least 5 factors.
We need an odd number < 50 that has 5 or more factors.
Let’s try some odd numbers:
Try 45:
Factors of 45: 1, 3, 5, 9, 15, 45 → that’s 6 factors!
✔
Also, 45 is odd and under 50.
✔ So,
45 works.
(Other options: 27 → 1,3,9,27 → only 4 factors → not enough.
35 → 1,5,7,35 → 4 factors → no.
But 45 works!)
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Final Answer:
1) 84
2) Impossible
3) 47
4) Impossible
5) Impossible
6) 2
7) 45
Parent Tip: Review the logic above to help your child master the concept of math multiples worksheet.
