Here are the solutions for the prime factorization problems using the ladder method.
2) 80
* Divide by 2: $80 \div 2 = 40$
* Divide by 2: $40 \div 2 = 20$
* Divide by 2: $20 \div 2 = 10$
* Divide by 2: $10 \div 2 = 5$
* 5 is a prime number, so we stop.
*
Answer: $80 = 2 \times 2 \times 2 \times 2 \times 5$
3) 90
* Divide by 2: $90 \div 2 = 45$
* Divide by 3: $45 \div 3 = 15$
* Divide by 3: $15 \div 3 = 5$
* 5 is a prime number, so we stop.
*
Answer: $90 = 2 \times 3 \times 3 \times 5$
4) 72
* Divide by 2: $72 \div 2 = 36$
* Divide by 2: $36 \div 2 = 18$
* Divide by 2: $18 \div 2 = 9$
* Divide by 3: $9 \div 3 = 3$
* 3 is a prime number, so we stop.
*
Answer: $72 = 2 \times 2 \times 2 \times 3 \times 3$
5) 120
* Divide by 2: $120 \div 2 = 60$
* Divide by 2: $60 \div 2 = 30$
* Divide by 2: $30 \div 2 = 15$
* Divide by 3: $15 \div 3 = 5$
* 5 is a prime number, so we stop.
*
Answer: $120 = 2 \times 2 \times 2 \times 3 \times 5$
6) 150
* Divide by 2: $150 \div 2 = 75$
* Divide by 3: $75 \div 3 = 25$
* Divide by 5: $25 \div 5 = 5$
* 5 is a prime number, so we stop.
*
Answer: $150 = 2 \times 3 \times 5 \times 5$
Final Answer:
2) $80 = 2 \times 2 \times 2 \times 2 \times 5$
3) $90 = 2 \times 3 \times 3 \times 5$
4) $72 = 2 \times 2 \times 2 \times 3 \times 3$
5) $120 = 2 \times 2 \times 2 \times 3 \times 5$
6) $150 = 2 \times 3 \times 5 \times 5$
Parent Tip: Review the logic above to help your child master the concept of prime factorization worksheet printable.