Which of these numbersis a factor of 42?

Question

Which of these numbersis a factor of 42??  
A. 21  
B. 40  
C. 9  
D. 24

Accepted Answer

Correct Answer: (A)21. 
Rationale: 21 is a factor of 42 because it divides evenly into 42 without leaving a remainder.A factor is a whole number that can divide another number exactly, meaning the result is an integer with no fraction or decimal. Since 42 ÷ 21 = 2, and 2 is a whole number, 21 is indeed a factor of 42.A) 21 is correct because when you divide 42 by 21, the result is 2, which is a whole number. Additionally, if we list the factors of 42 (1, 2, 3, 6, 7, 14, 21, 42), 21 clearly appears in this set. This confirms that 21 is one of the numbers that evenly divides 42.B) 40 is incorrect because 42 ÷ 40 does not produce a whole number. Instead, it results in 1.05, which is a decimal. Since a factor must divide a number exactly with no remainder, 40 cannot be considered a factor of 42.C) 9 is incorrect because 42 ÷ 9 equals approximately 4.67, which is not a whole number. Although 9 is a factor of some numbers (such as 18 or 36), it does not divide evenly into 42, so it is not a factor in this case.D) 24 is incorrect because 42 ÷ 24 equals 1.75, which again is not a whole number. Since dividing 42 by 24 leaves a fractional result, 24 does not meet the definition of a factor.

Which of these numbersis a factor of 42?

A
21

B
40

C
9

D
24

21 is a factor of 42 because it divides evenly into 42 without leaving a remainder.

Related Questions

Which of these numbersis a factor of 42?

A 21 B 40 C 9 D 24

21 is a factor of 42 because it divides evenly into 42 without leaving a remainder.

Related Questions

A
21

B
40

C
9

D
24