I need to find the prime factorization for each number listed. Let me work through each one carefully.
Prime factorization means breaking down a number into its prime factors (numbers that can only be divided by 1 and themselves).
Let me solve each problem:
A) 9
9 = 3 × 3 = 3²
B) 16
16 = 2 × 8 = 2 × 2 × 4 = 2 × 2 × 2 × 2 = 2⁴
C) 28
28 = 2 × 14 = 2 × 2 × 7 = 2² × 7
D) 36
36 = 2 × 18 = 2 × 2 × 9 = 2 × 2 × 3 × 3 = 2² × 3²
E) 42
42 = 2 × 21 = 2 × 3 × 7
F) 60
60 = 2 × 30 = 2 × 2 × 15 = 2 × 2 × 3 × 5 = 2² × 3 × 5
G) 74
74 = 2 × 37 (37 is prime)
H) 88
88 = 2 × 44 = 2 × 2 × 22 = 2 × 2 × 2 × 11 = 2³ × 11
I) 96
96 = 2 × 48 = 2 × 2 × 24 = 2 × 2 × 2 × 12 = 2 × 2 × 2 × 2 × 6 = 2 × 2 × 2 × 2 × 2 × 3 = 2⁵ × 3
J) 101
101 is already prime (it's not divisible by 2, 3, 5, 7, or any other smaller primes)
K) 124
124 = 2 × 62 = 2 × 2 × 31 = 2² × 31
L) 195
195 = 5 × 39 = 5 × 3 × 13 = 3 × 5 × 13
M) 244
244 = 2 × 122 = 2 × 2 × 61 = 2² × 61
N) 393
393 = 3 × 131 (131 is prime)
O) 450
450 = 2 × 225 = 2 × 9 × 25 = 2 × 3² × 5²
P) 629
Let me check: 629 ÷ 17 = 37
So 629 = 17 × 37
Final Answer:
A) 3²
B) 2⁴
C) 2² × 7
D) 2² × 3²
E) 2 × 3 × 7
F) 2² × 3 × 5
G) 2 × 37
H) 2³ × 11
I) 2⁵ × 3
J) 101 (prime)
K) 2² × 31
L) 3 × 5 × 13
M) 2² × 61
N) 3 × 131
O) 2 × 3² × 5²
P) 17 × 37
Parent Tip: Review the logic above to help your child master the concept of prime factorization worksheet grade 5.
