Maxine says that ' 13 is a factor of 264 '. Use 132 = 2 2 × 3 × 11 and the prime factorisation of 264 to explain why she is wrong?

132 can be expressed as a product of its prime factors as fallows: 132 = 2 2 × 3 × 11 264 can be expressed as fallows: 264 = 2 × 132 ⇒ 264 = 2 × ( 2 2 × 3 × 11 ) ⇒ 264 = 2 3 × 3 × 11 Since, the prime factorisation of 264 does not contain 13 . So, 13 is not a factor of 264 . Therefore, Maxine statement ' 13 is factor of 264 ' is wrong.

Maxine says that ' 13 is a factor of 264 '. Use 132 = 2 2 × 3 × 11 and the prime factorisation of 264 to explain why she is wrong?

132 can be expressed as a product of its prime factors as fallows: 132 = 2 2 × 3 × 11 264 can be expressed as fallows: 264 = 2 × 132 ⇒ 264 = 2 × ( 2 2 × 3 × 11 ) ⇒ 264 = 2 3 × 3 × 11 Since, the prime factorisation of 264 does not contain 13 . So, 13 is not a factor of 264 . Therefore, Maxine statement ' 13 is factor of 264 ' is wrong.

E M B I B E

Cambridge Lower Secondary Maths Stage 8 : Workbook>Chapter 4 - Factors and Rational Numbers>Exercise 1

EASY

Lower Secondary Stage 8

IMPORTANT

Earn 100

Maxine says that ' $13$ is a factor of $264$ '.

Use $132 = 2^{2} \times 3 \times 11$ and the prime factorisation of $264$ to explain why she is wrong?

Important Questions on Factors and Rational Numbers

MEDIUM

Lower Secondary Stage 8

IMPORTANT

Cambridge Lower Secondary Maths Stage 8 : Workbook>Chapter 4 - Factors and Rational Numbers>Exercise 1

Olga an Carlos each buy some packets of pens. All the packets contain the same number of pens. Olga's packet contain a total of $96$ pens. Carlos' packets contain a total of $132$ pens. What is the largest possible number of pens that could be in a packet?