6 — Multiples and Common Multiples

Multiples and Common Multiples

Solution & Explanation · ID: B629A189

Question

Is 42 a multiple of 7? Explain your answer.

Hint

Check if 42 can be divided evenly by 7.

Concept

A number is a multiple of another number if it can be divided evenly (with no remainder) by that number, or if there exists a whole number that when multiplied by the divisor gives the original number.

Show Answer

Yes, 42 is a multiple of 7 because 7 × 6 = 42

Show Solution
1

To check if 42 is a multiple of 7, we need to see if 42 ÷ 7 gives a whole number with no remainder

2

Divide 42 ÷ 7 = 6 with no remainder

3

We can verify this by multiplying: 7 × 6 = 42

4

Since 42 ÷ 7 = 6 exactly, 42 is a multiple of 7

Division verification showing 42 ÷ 7 = 6 in long division format. Below it, multiplication check showing 7 × 6 = 42 vertically aligned. Both calculations are connected with an arrow and checkmark, demonstrating that 42 is indeed a multiple of 7.