I'll help you find the factors of each number. Let me work through this carefully, checking each calculation.
To find factors, I need to identify all whole numbers that divide evenly into each given number (with no remainder).
Let me go through each number systematically:
150:
- 1 × 150 = 150 ✓
- 2 × 75 = 150 ✓
- 3 × 50 = 150 ✓
- 5 × 30 = 150 ✓
- 6 × 25 = 150 ✓
- 10 × 15 = 150 ✓
Factors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
200:
- 1 × 200 = 200 ✓
- 2 × 100 = 200 ✓
- 4 × 50 = 200 ✓
- 5 × 40 = 200 ✓
- 8 × 25 = 200 ✓
- 10 × 20 = 200 ✓
Factors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
225:
- 1 × 225 = 225 ✓
- 3 × 75 = 225 ✓
- 5 × 45 = 225 ✓
- 9 × 25 = 225 ✓
- 15 × 15 = 225 ✓
Factors: 1, 3, 5, 9, 15, 25, 45, 75, 225
113:
Let me check if 113 is prime by testing divisibility:
- Not divisible by 2 (odd)
- Not divisible by 3 (1+1+3=5, not divisible by 3)
- Not divisible by 5 (doesn't end in 0 or 5)
- 113 ÷ 7 = 16.14... (not whole)
- √113 ≈ 10.6, so I only need to check up to 10
- Not divisible by any other small primes
113 is prime!
Factors: 1, 113
125:
- 1 × 125 = 125 ✓
- 5 × 25 = 125 ✓
Factors: 1, 5, 25, 125
110:
- 1 × 110 = 110 ✓
- 2 × 55 = 110 ✓
- 5 × 22 = 110 ✓
- 10 × 11 = 110 ✓
Factors: 1, 2, 5, 10, 11, 22, 55, 110
145:
- 1 × 145 = 145 ✓
- 5 × 29 = 145 ✓
Factors: 1, 5, 29, 145
155:
- 1 × 155 = 155 ✓
- 5 × 31 = 155 ✓
Factors: 1, 5, 31, 155
128:
- 1 × 128 = 128 ✓
- 2 × 64 = 128 ✓
- 4 × 32 = 128 ✓
- 8 × 16 = 128 ✓
Factors: 1, 2, 4, 8, 16, 32, 64, 128
195:
- 1 × 195 = 195 ✓
- 3 × 65 = 195 ✓
- 5 × 39 = 195 ✓
- 13 × 15 = 195 ✓
Factors: 1, 3, 5, 13, 15, 39, 65, 195
44:
- 1 × 44 = 44 ✓
- 2 × 22 = 44 ✓
- 4 × 11 = 44 ✓
Factors: 1, 2, 4, 11, 22, 44
175:
- 1 × 175 = 175 ✓
- 5 × 35 = 175 ✓
- 7 × 25 = 175 ✓
Factors: 1, 5, 7, 25, 35, 175
Let me double-check a few of these to make sure I didn't miss any factors:
For 150: 150 = 2 × 3 × 5², so factors should be all combinations: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150 ✓
For 200: 200 = 2³ × 5², factors: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 ✓
For 225: 225 = 3² × 5², factors: 1, 3, 5, 9, 15, 25, 45, 75, 225 ✓
All calculations check out!
Final Answer:
150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
225: 1, 3, 5, 9, 15, 25, 45, 75, 225
113: 1, 113
125: 1, 5, 25, 125
110: 1, 2, 5, 10, 11, 22, 55, 110
145: 1, 5, 29, 145
155: 1, 5, 31, 155
128: 1, 2, 4, 8, 16, 32, 64, 128
195: 1, 3, 5, 13, 15, 39, 65, 195
44: 1, 2, 4, 11, 22, 44
175: 1, 5, 7, 25, 35, 175
Parent Tip: Review the logic above to help your child master the concept of math factors worksheet.
