Expressing an integer as a product of its prime factors | Maths

Starter quiz

Fill in the missing word in this statement: A number which has exactly 2 factors is called a ______ number.
- 'prime' ✓
Which of the following arrays shows that 6 is not a prime number?
Which of the following is not a prime number?
- 11
- 15 ✓
- 17
- 19
True or false? 31 is a prime number.
- True, it has exactly 2 factors, 1 × 31 ✓
- False, you can make an array of 3 × 11
True or false? All odd numbers between 2 and 10 are prime numbers.
- True, you cannot make an array with a width of 2
- False, 9 has 3 factors ✓
Which is the odd one out in this list? 37, 47, 57, 67
- 37
- 47
- 57 ✓
- 67

Fill in the missing word: Integers greater than 1 are either ______ or prime.
- 'composite' ✓
What number is missing in this statement? Composite numbers have more than ______ factors
- 1
- 2 ✓
- 3
- 4
What is the missing number in the first step in the process to find prime factors of 12? $12 = 2 ×$ ______
- '6' ✓
What is the missing product in this process to find prime factors of 12?
- 2 × 3 ✓
- 2 + 3
- 3 + 2
- 1 × 6
- 3 + 3
Given that 120 = $2^3\times3\times5$ , which of the following equals 600?
- $2^4\times3\times5$
- $2^3\times3\times5^2$ ✓
- $2^3\times3^2\times5$
Given that 3600 = $2^4\times3^2\times5^2$ , which of the following equals 360?
- $2^3\times3^2\times5$ ✓
- $2^2\times3\times5$
- $2^5\times3^2\times5^3$

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Use of addition instead of multiplication when the decomposing the number.

Reiterate that the product of prime factors is unique.

Composite - A composite number is an integer with more than two factors. All integers greater than 1 are either composite or prime
Prime factors - Prime factors are the factors of a number that are, themselves, prime.
Unique - Each composite number has a unique product of its prime factors. i.e. there is only one unique way it can be written.