약수·배수와 소인수분해 단원 종합

C.1Use the divisibility rules for 2, 3, 4, 5, 6, 9, and 10. When asked which divide a number, list all of them.

1. 1
   Is 99,869 divisible by 6? 
2. 2
   Is 348 divisible by 6? 

C.2Write prime or composite.

1. 3
   Is 173 prime or composite?
2. 4
   Is 128 prime or composite?

C.3List the factors from least to greatest.

1. 5
   List all the factors of 145.
2. 6
   List all the factors of 28.

C.4List all the factor pairs.

1. 7
   List all the factor pairs of 78.
2. 8
   List all the factor pairs of 121.

C.5Write each number as a product of prime numbers.

1. 9
   Write the prime factorization of 56.
2. 10
   Write the prime factorization of 130.

C.6Write each prime factorization using exponents.

1. 11
   Write the prime factorization of 150 using exponents.
2. 12
   Write the prime factorization of 144 using exponents.

C.7Find each GCF.

1. 13
   Find the greatest common factor (GCF) of 28 and 84.
2. 14
   Find the greatest common factor (GCF) of 78 and 91.

C.8Find each GCF. (continued)

1. 15
   Find the greatest common factor (GCF) of 70, 98, and 84.
2. 16
   Find the greatest common factor (GCF) of 66, 78, and 42.

C.9C.10Find each LCM.

1. 17
   Find the least common multiple (LCM) of 2 and 11.
2. 18
   Find the least common multiple (LCM) of 2 and 3.
3. 19
   Find the least common multiple (LCM) of 3, 4, and 6.
4. 20
   Find the least common multiple (LCM) of 4, 6, and 8.

C.11Answer each question.

1. 21
   Find the least common multiple (LCM) of 7 and 9.
2. 22
   Find the least common multiple (LCM) of 8 and 12.

C.1Divisibility Rules

1. 1no
2. 2yes

C.2Prime or Composite

1. 3prime
2. 4composite

C.3List the Factors

1. 51, 5, 29, 145
2. 61, 2, 4, 7, 14, 28

C.4Factor Pairs

1. 7$1\times 78$, $2\times 39$, $3\times 26$, $6\times 13$
2. 8$1\times 121$, $11\times 11$

C.5Prime Factorization

1. 9$2\times 2\times 2\times 7$
2. 10$2\times 5\times 13$

C.6Prime Factorization with Exponents

1. 11$2\times 3\times 5^2$
2. 12$2^4\times 3^2$

C.7C.8Find each GCF.

1. 1328
2. 1413
3. 1514
4. 166

C.9Least Common Multiple

1. 1722

C.9C.10Find each LCM. (continued)

1. 186
2. 1912
3. 2024

C.11GCF & LCM

1. 2163
2. 2224