Question

Which of the following statements is not correct about factors and multiples of 48?

• A. 48 has a total of 10 factors.
• B. The smallest multiple of 48 is 48.
• C. 48 has 2 factors that are prime numbers.
• D. 48 has a total of 10 multiples.

Answer 1

The correct option is D 48 has a total of 10 multiples.

Let’s look at each statement one by one.

• If we multiply 48 by 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 and so on, we will get multiples of 48. So, 48 has more than 10 multiples. Hence, the statement “48 has 10 multiples” is not correct.
• Let’s first find the factor pairs that give us 48.

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. So, 48 has 10 factors.
Hence the statement “48 has 10 factors” is correct.

• The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Out of these factors, 2 and 3 are prime numbers. Hence, the statement “48 has 2 factors that are prime numbers” is correct.
• Of all the multiples of 48, 48 is the smallest one.Hence, the statement “48 is the smallest multiple of 48” is correct.