Question

find the prime factors of the numbers
1 )
44
2 )
30
3 )
99
prime factors
_ x _ x _ = 44
prime factors
_ x _ x _ = 30
prime factors
_ x _ x _ = 99
4 )
90
5 )
76
6 )
16
prime factors
_ x _ x _ x _ = 90
prime factors
_ x _ x _ = 76
prime factors
_ x _ x _ x _ = 16

Explanation:

1) For 44:

Step1: Split 44 into factors

$44 = 11 \times 4$

Step2: Split 4 into primes

$4 = 2 \times 2$

Step3: List all prime factors

$2 \times 2 \times 11 = 44$

2) For 30:

Step1: Split 30 into factors

$30 = 5 \times 6$

Step2: Split 6 into primes

$6 = 2 \times 3$

Step3: List all prime factors

$2 \times 3 \times 5 = 30$

3) For 99:

Step1: Split 99 into factors

$99 = 11 \times 9$

Step2: Split 9 into primes

$9 = 3 \times 3$

Step3: List all prime factors

$3 \times 3 \times 11 = 99$

4) For 90:

Step1: Split 90 into factors

$90 = 5 \times 18$

Step2: Split 18 into factors

$18 = 3 \times 6$

Step3: Split 6 into primes

$6 = 2 \times 3$

Step4: List all prime factors

$2 \times 3 \times 3 \times 5 = 90$

5) For 76:

Step1: Split 76 into factors

$76 = 2 \times 38$

Step2: Split 38 into primes

$38 = 2 \times 19$

Step3: List all prime factors

$2 \times 2 \times 19 = 76$

6) For 16:

Step1: Split 16 into factors

$16 = 2 \times 8$

Step2: Split 8 into factors

$8 = 2 \times 4$

Step3: Split 4 into primes

$4 = 2 \times 2$

Step4: List all prime factors

$2 \times 2 \times 2 \times 2 = 16$

Answer:

1. Factor tree: 44 → 11, 4; 4 → 2, 2. Prime factors: $2 \times 2 \times 11 = 44$
2. Factor tree: 30 → 5, 6; 6 → 2, 3. Prime factors: $2 \times 3 \times 5 = 30$
3. Factor tree: 99 → 11, 9; 9 → 3, 3. Prime factors: $3 \times 3 \times 11 = 99$
4. Factor tree: 90 → 5, 18; 18 → 3, 6; 6 → 2, 3. Prime factors: $2 \times 3 \times 3 \times 5 = 90$
5. Factor tree: 76 → 2, 38; 38 → 2, 19. Prime factors: $2 \times 2 \times 19 = 76$
6. Factor tree: 16 → 2, 8; 8 → 2, 4; 4 → 2, 2. Prime factors: $2 \times 2 \times 2 \times 2 = 16$