Josh is spending some of the Easter holidays revising for his upcoming exams. He is stuck on one of the maths questions. Can you help him solve the question?
Below are some properties of a number.
It is a common factor of 288 and 360.
It is a common multiple of 4 and 6.
It is larger than 25.
Find the two possible numbers with these properties.
Answer:
Factors of 288 = 2, 3, 4, 6, 8, 9, 16, 18, 32, 36, 48, 72, 96, 144
Factors of 360 = 2, 4, 5, 6, 8, 9, 10, 15, 18, 20, 24, 36, 40, 45, 60, 72, 90, 180
So, the common factors are
2, 4, 6, 8, 9, 18, 36 and 72
Only two numbers are larger than 25 and both are divisible by 4 and 6.
So, the numbers are 36 and 72