Vocabulary
Every composite number can be written as a product of prime factors called its __________________.
Word bank: common multiple, composite number, factor tree, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: prime factorization
Find the GCF for the following pair of numbers:
30, 100
Answer: GCF = 10
Find the LCM for the following pair of numbers.
4, 9
Answer: LCM= 36
Write the prime factorization for the number.
56
Answer: 2x2x2x7 or 2^3x7
Explain what GCF is.
Answer: GCF is the greatest common factor. The greatest common factor is the biggest or largest number that 2 numbers have in common.
The number 5 is the ________ of 10 and 15.
Word bank: common multiple, composite number, factor tree, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: GCF or greatest common factor
Find the GCF for the following pair of numbers:
8, 52
Answer: GCF = 4
Find the LCM for the following pair of numbers.
8, 10
Answer: LCM = 40
Write the prime factorization for the number.
39
Answer: 3x13
Explain what LCM is.
Answer: LCM is least common multiple also referred to as least common denominator. It is when you find the smallest or least number that 2 numbers have in common.
A diagram that shows the prime factors of a composite number is a _____________.
Word bank: common multiple, composite number, factor tree, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: factor tree
Find the GCF for the following pair of numbers:
75, 89
Answer: GCF = 1
Find the LCM for the following pair of numbers.
10, 2
Answer: LCM = 10
Write the prime factorization for the number.
83
Answer: Prime
Use the GCF and distributive property to find the sum.
32 + 48
Answer: 16 (2 + 3) = 16 (5) = 80
A number that has more than two factors is a __________________.
Word bank: common multiple, composite number, factor tree, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: composite number
Find the GCF for the following pair of numbers:
28, 42
Answer: GCF = 14
Find the LCM for the following pair of numbers.
9,12
Answer: LCM = 36
Write the prime factorization for the number.
42
Answer: 2x3x7
Use the GCF and distributive property to find the sum.
98 + 14
Answer: 14 (7 + 1) = 14 (8) = 112
A _________ is a whole number greater than 1 that has exactly two factors, 1 and itself.
Word bank: common multiple, composite number, factor tree, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: prime number
Find the GCF for the following pair of numbers:
37, 67
Answer: GCF = 1
Find the LCM for the following pair of numbers.
12, 11
Answer: LCM = 132
Write the prime factorization for the number.
75
Answer: 3x5x5 or 3x5^2
Solve the word problem.
Al´s garden is 18 ft. long and 30 ft. wide. He wants to put fence posts the same distance apart along all sides of the garden. What is the greatest distance apart that he can place the fence posts?
Answer: GCF = 6