Prime factorization is the multiplication of prime numbers to get the product.
Here are few examples to illustrate prime factorization
1. Find prime factorization of 48
Solution:
Using the factor tree the prime factors are:
The prime factorization of 48 = 2 × 2 × 2 × 2 × 3 = 2^{4 }× 3 = 48
2. Find prime factorization of 56
Solution:
Using the factor tree the prime factors are:
The prime factorization of 56 = 2 × 2 × 2 × 7 = 2^{3 }× 7 56
3. Find prime factorization of 96
Solution:
Factor tree the prime factors are:
The prime factorization of 96 = 2 × 2 × 2 × 2 × 2 × 3 = 2^{5 }× 3 = 96
4. Find prime factorization of 64
Solution:
Factor tree the prime factors are:
The prime factorization of 64 = 2 × 2 × 2 × 2 × 2 ×2 = 2^{6 }= 64
5. Find prime factorization of 78
Solution:
Using the factor tree the prime factors are:
The prime factorization of 78 = 2 × 2 × 13 = 2^{2 }× 13 = 78
6. Find prime factorization of 120
Solution:
Using the factor tree the prime factors are:
The prime factorization of 96 = 2 × 2 × 2 × 3 × 5 = 2^{3} × 3 × 5 = 120
7. Find prime factorization of 343
Solution:
Factor tree the prime factors are:
The prime factorization of 96 = 7 × 7 × 7 = 7^{3} = 343
8. Find prime factorization of 360
Solution:
Factor tree the prime factors are:
The prime factorization of 360 = 2 × 2 × 2 × 3 × 3 × 5 = 2^{3} × 3^{2} × 5 = 360
9. Find prime factorization of 144
Solution:
The prime factorization of 360 = 2 × 2 × 2 × 2 × 3 × 3 = 2^{4 }× 3^{2} = 360
10. Find prime factorization of 150
Solution:
With the factor tree the prime factors are:
The prime factorization of 150 = 2 × 3 × 5 × 5 = 2 × 3 × 5^{2} = 150
11. Find prime factorization of 125
Solution:
With the factor tree the prime factors are:
The prime factorization of 125 = 5 × 5 × 5 = 5^{3 }= 125
12. Find prime factorization of 128
Solution:
With the factor tree the prime factors are:
The prime factorization of 64 = 2 × 2 × 2 × 2 × 2 ×2 × 2 = 2^{7 }= 128
13. Find prime factorization of 243
Solution:
Using the factor tree the prime factors are:
The prime factorization of 243 = 3 × 3 × 3 × 3 × 3 = 3^{5} = 243
14. Find prime factorization of 225
Solution:
With the factor tree the prime factors are:
The prime factorization of 225 = 5 × 5 × 3 × 3 = 5^{2 }× 3^{2 }= 225
15. Find prime factorization of 85
Solution:
With the factor tree the prime factors are:
The prime factorization of 85 = 5 × 17 = 85
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