Practice with the help of Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.4 Reviewing Factors and Multiples regularly and improve your accuracy in solving questions.
Spectrum Math Grade 5 Chapter 4 Lesson 4.4 Reviewing Factors and Multiples Answers Key
Greatest Common Factor
Find the greatest common factor by looking for which factors two numbers share and then figure out which is the greatest.
Least Common Multiple
Find the least common multiple by listing multiples of each number until finding the first one that is shared.
Find the greatest common factor of these numbers.
Question 1.
a. 14 and 42 __________
Answer:
The greatest common factor of 14 and 42 is 7.
Explanation:
Factors of 14:
1,2,7,14.
Factors of 42:
1,2,3,6,7,13,21,42.
b. 27 and 18 _____
Answer:
The greatest common factor of 27 and 18 is 9.
Explanation:
Factors of 27:
1,3,9,27.
Factors of 18:
1,2,3,6,9,18.
Question 2.
a. 36 and 24 __________
Answer:
The greatest common factor of 36 and 24 is 6.
Explanation:
Factors of 36:
1,2,3,4,6,9,12,18,36.
Factors of 24:
1,2,3,4,6,24.
b. 45 and 20 _____
Answer:
The greatest common factor of 45 and 20 is 5.
Explanation:
Factors of 45:
1,3,5,915,45.
Factors of 20:
1,2,4,5,10,20.
Question 3.
a. 72 and 54 __________
Answer:
The greatest common factor of 72 and 54 is 18.
Explanation:
Factors of 72:
1,2,3,4,6,8,9,12,18,24,36,72.
Factors of 54:
1,2,3,6,9,18,27,54.
b. 42 and 49 ____
Answer:
The greatest common factor of 42 and 49 is 7.
Explanation:
Factors of 42:
1,2,3,6,7,14,21,42.
Factors of 49:
1,7,49.
Question 4.
a. 86 and 94 _____________
Answer:
The greatest common factor of 86 and 94 is 2.
Explanation:
Factors of 86:
1,2,43,86.
Factors of 94:
1,2,47,94.
b. 66 and 11 ____
Answer:
The greatest common factor of 11.
Explanation:
Factors of 66:
1,2,3,6,11,22,33,66.
Factors of 11:
1,11.
Find the least common multiple of these numbers.
Question 5.
a. 2 and 7 ___________
Answer:
The least common multiple of 2 and 7 is 14.
Explanation:
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70.
b. 4 and 10 _____
Answer:
The least common multiple of 4 and 10 is 20.
Explanation:
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Question 6.
a. 4 and 5 ___________
Answer:
The least common multiple of 4 and 5 is 20.
Explanation:
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40.
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
b. 6 and 10 ______
Answer:
The least common multiple of 6 and 10 is 30.
Explanation:
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100.
Question 7.
a. 4 and 12 ____
Answer:
The least common multiple of 4 and 12 is 12.
Explanation:
Multiples of 4:
4, 8, 12, 26, 20, 24, 28, 32, 36, 40.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120.
b. 6 and 18 _____
Answer:
The least common multiple of 6 and 18 is 36.
Explanation:
Multiples of 6:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60.
Multiples of 18:
18, 36, 54, 72, 90, 108, 126, 144, 162, 180.
Question 8.
a. 2 and 5 ____
Answer:
The least common multiple of 2 and 5 is 10.
Explanation:
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50.
b. 5 and 11 _____
Answer:
The least common multiple of 5 and 11 is 55.
Explanation:
Multiples of 5:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
Multiples of 11:
11, 22, 33, 44, 55, 66, 77, 88, 99, 110.