What Are the Multiples of 7: This tutorial will explain what multiples are, how to find the multiples of the number 7, and provide examples to help you understand the concept. Multiples of a number are the products obtained by multiplying the number with whole numbers.
What Are Multiples?
Multiples of a number are the results you get when you multiply that number by integers. For example, the multiples of 7 are found by multiplying 7 by 1, 2, 3, and so on. In general, if you multiply any number \( n \) by an integer \( m \), the result is a multiple of \( n \).
Steps to Find the Multiples of 7
Follow these steps to find multiples of 7:
- Step 1: Choose an integer to multiply by 7. Start with the integer 1 and continue with larger integers to find more multiples.
- Step 2: Multiply the chosen integer by 7. The result is a multiple of 7.
- Step 3: Continue multiplying 7 by successive integers. This process will generate the sequence of multiples of 7.
Examples of Multiples of 7
Let’s go through some examples to illustrate the multiples of 7:
- 7 × 1 = 7: The first multiple of 7 is 7.
- 7 × 2 = 14: The second multiple of 7 is 14.
- 7 × 3 = 21: The third multiple of 7 is 21.
- 7 × 4 = 28: The fourth multiple of 7 is 28.
- 7 × 5 = 35: The fifth multiple of 7 is 35.
- 7 × 6 = 42: The sixth multiple of 7 is 42.
- 7 × 7 = 49: The seventh multiple of 7 is 49.
- 7 × 8 = 56: The eighth multiple of 7 is 56.
- 7 × 9 = 63: The ninth multiple of 7 is 63.
- 7 × 10 = 70: The tenth multiple of 7 is 70.
Understanding the Pattern
The multiples of 7 form a sequence where each term increases by 7. This means the difference between consecutive multiples is always 7. For example, starting from 7, adding 7 gives 14, adding another 7 gives 21, and so on.
Conclusion
The multiples of 7 are the products you get when you multiply 7 by whole numbers. They follow a simple pattern, increasing by 7 each time.