Vocabulary
When a number is written as a product of prime factors called it is 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
A red light flashes every 28 sec.
A green light flashes every 24 sec.
They started at the same time
After how many seconds will they next both flash at the same time?
Answer: 168 sec
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.
22, 66
Answer: LCM = 66
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 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.
3, 6 and 9
Answer: LCM = 18
Write the prime factorization for the number.
83
Answer: Prime
A bus heading to Chiapas leaves Mexico City every 26 minutes
A bus heading to Guerrero leaves Mexico City every 45 minutes.
At 10 AM both buses leave the Station
Work out the next time both buses leave at the same time
Answer: 1:00 pm
A number that has only 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: prime number
Find the GCF for the following pair of numbers:
24, 9 and 15
Answer: GCF = 3
Find the LCM for the following pair of numbers.
7, 21 and 28
Answer: LCM = 84
Write the prime factorization for the number.
42
Answer: 2x3x7
Explain why Fred is wrong
Answer:
The HCF is 1.
If the HCF of two numbers if 1, they are _________.
Word bank: common multiple, composite number, factor tree, coprime numbers, greatest common factor (GCF), least common multiple (LCM), prime factorization, prime number
Answer: coprime numbers
Find the GCF for the following pair of numbers: 60,120 and 90
Answer: GCF = 30
Find the LCM for the following pair of numbers.
15, 18 and 24
Answer: LCM = 360
Write the prime factorization for the number in index form.
75
Answer: 3x5^2
Solve the word problem.
Karla has 415 red candies, Greta has 385 green candies. They want to arrange the candies in such a way that each row contains an equal number of candies, and also each row should have only red candies or green candies. What is the greatest number of candies that can be arranged in each row?
Answer: GCF = 5