# What are the multiples of 42?

#### Understand the Problem

The question is asking for the multiples of the number 42, which are numbers that can be expressed as 42 times an integer. To find the multiples, one would typically list the products of 42 with whole numbers (0, 1, 2, 3, etc.).

The first ten multiples of 42 are: 0, 42, 84, 126, 168, 210, 252, 294, 336, 378.

The first ten multiples of 42 are: 0, 42, 84, 126, 168, 210, 252, 294, 336, and 378.

#### Steps to Solve

1. Identify the range of integers Determine how many multiples of 42 you want to find. You can start with the first ten as an example.

2. Multiply integers by 42 List the integers you will multiply by 42, starting at 0 and going up to 9 for the first ten multiples.

3. Calculate the first ten multiples Multiply each integer by 42:

• For 0: $42 \cdot 0 = 0$
• For 1: $42 \cdot 1 = 42$
• For 2: $42 \cdot 2 = 84$
• For 3: $42 \cdot 3 = 126$
• For 4: $42 \cdot 4 = 168$
• For 5: $42 \cdot 5 = 210$
• For 6: $42 \cdot 6 = 252$
• For 7: $42 \cdot 7 = 294$
• For 8: $42 \cdot 8 = 336$
• For 9: $42 \cdot 9 = 378$
1. List the multiples obtained Write down the results from your calculations in a list format:
• 0
• 42
• 84
• 126
• 168
• 210
• 252
• 294
• 336
• 378

The first ten multiples of 42 are: 0, 42, 84, 126, 168, 210, 252, 294, 336, and 378.

The multiples of a number are significant in many mathematical applications, including finding factors, solving equations, and understanding patterns in number theory. The multiples of 42 are particularly useful since 42 is known as a pronic number (the product of two consecutive integers).

#### Tips

• Forgetting to start with 0 as a multiple.
• Miscalculating the products when multiplying by integers.
• Not following through with the entire list of calculations, missing out on later multiples.
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