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.