Prime Numbers
What is a prime number?
A prime number is a natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself.
What are the prime factors of 24?
The prime factors of 24 are 2, 2, 2, and 3 (since 24=2x2x2x3).
How can you determine if a number is a multiple of 5?
A number is a multiple of 5 if it ends with 0 or 5.
What are factors?
Factors are numbers that divide another number exactly without leaving a remainder.
I'm the biggest buddy numbers share when they factor up — what am I?
What is Greatest Common Factor (GCF)?
Is the number 9 prime? Why or why not?
No, 9 is not prime because it has divisors other than 1 and itself (3 × 3 = 9).
Prime factorize the number 30.
The prime factorization of 30 is 2, 3, and 5 (since 30=2×3×5).
What shortcut can you use to check if a number is a multiple of 3?
Add the digits of the number; if the sum is divisible by 3, then the number is a multiple of 3.
What are multiples?
Multiples are the results of multiplying a number by integers. For example, multiples of 4 are 4, 8, 12, 16, etc.
When two numbers want to meet up at the smallest party, they find this—what is it?
What is Lowest Common Multiple (LCM)?
List all prime numbers between 1 and 20.
The prime numbers between 1 and 20 are: 2, 3, 5, 7, 11, 13, 17, and 19.
What is the prime factorization of 144?
The prime factorization of 144 is 2x2x2x2x3x3 (2, 2, 2, 2, 3, 3).
Describe the distributive property in your own words.
The distributive property means multiplying a number by a sum by multiplying each addend separately and then adding the results.
What are all factors of 50? List them.
The factors of 50 are 1, 2, 5, 10, 25, and 50.
If 12 and 18 went fishing, what common factor would they use as their lucky bait?
What is 6?
Explain why 1 is not considered a prime number.
1 is not considered prime because it only has one positive divisor (itself), not two.
Explain how you can find the prime factors of a number using a factor tree.
A factor tree breaks a number down by dividing it into two factors repeatedly until all factors are prime numbers.
How does knowing your timetables help with prime factorization?
Knowing your timetables helps quickly identify prime factors and break down numbers efficiently.
How can you find the least common multiple (LCM) of 6 and 8?
Find the prime factors of 6 and 8, then multiply the highest powers of each prime to get the LCM (which is 24).
Why did the multiples throw a party? To find the lowest common guest! What is that called?
What is Lowest Common Multiple (LCM)?
What is the largest prime number less than 30?
The largest prime number less than 30 is 29.
What is the prime factorization of 256?
The prime factorization of 256 is
2x2x2x2x2x2x2x2 (2 multiplied by itself 8 times).
How does knowing your timetables help with prime factorization?
Knowing your timetables helps quickly identify prime factors and break down numbers efficiently.
Explain the relationship between factors and multiples using the number 12.
Factors are the building blocks of a number, and multiples are numbers formed by scaling (or skip counting) it. For example, 12’s factors are 1, 2, 3, 4, 6, 12, and its multiples are 12, 24, 36, etc.
What do you call the greatest common factor’s favorite dance move? The “factor shake” — but seriously, what is GCF?
What is The biggest number that divides two numbers evenly?