Page 135 - Math Course 1 (Book 1)
P. 135
Factoring
Write Prime Factorization
Example
Determine whether 36 is prime or composite.
Write the prime factorization of 56.
Find factors of 36 by listing the whole number
pairs whose product is 36.
56
36 = 1 × 36 8 • 7 56 = 8 • 7
36 = 2 × 18
36 = 3 × 12 4 • 2 • 7 8 = 4 • 2
36 = 4 × 9 2 • 2 • 2 • 7 4 = 2 • 2
36 = 6 × 6
The prime factorization is complete because 2
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
and 7 are prime numbers.
Since the number has more
Answer than two factors, it is Answer The prime factorization of
3
composite. 56 is 2 •2 • 2 • 7 or 2 • 7.
Your Turn!
Identify Numbers as Prime or Composite
A. Determine whether 49 is prime or composite. B. Determine whether 29 is prime or composite.
A. prime A. prime
B. composite B. composite
C. neither C. neither
D. prime and composite D. prime and composite
Answer Answer
Write Prime Factorization
Write the prime factorization of 72.
A. 2 6
2
B. 2 • 3 3
3
C. 2 • 3 2
2
D. 3 • 7
Answer
127
