Understanding the Expression 7+21 as a Product of Two Factors
The expression 7+21 is a fundamental arithmetic operation that can be represented in various ways. In this article, we will explore the different ways to express 7+21 as a product of two factors and identify the correct expression.
Direct Answer: 7+21 = 28
The most straightforward way to express 7+21 as a product of two factors is by using the direct answer method. This method involves finding two numbers that multiply to give 7 and add to give 21.
- Factors of 7: The factors of 7 are 1 and 7, and 7 and 1.
- Factors of 21: The factors of 21 are 1, 3, 7, and 21.
- Product of Factors: The product of the factors of 7 and 21 is 1 × 7 = 7 and 1 × 21 = 21.
Alternative Expressions:
While the direct answer method is the most straightforward way to express 7+21 as a product of two factors, there are other alternative expressions that can also be used.
- Multiples of 7: The multiples of 7 are 7, 14, 21, and 28. These numbers can be used to express 7+21 as a product of two factors.
- Multiples of 21: The multiples of 21 are 21, 42, and 63. These numbers can also be used to express 7+21 as a product of two factors.
Identifying the Correct Expression:
To identify the correct expression, we need to find the factors of 7 and 21 that multiply to give 7 and add to give 21.
- Factors of 7: The factors of 7 are 1 and 7.
- Factors of 21: The factors of 21 are 1, 3, 7, and 21.
- Product of Factors: The product of the factors of 7 and 21 is 1 × 7 = 7 and 1 × 21 = 21.
Conclusion:
In conclusion, the expression 7+21 can be represented in various ways, including the direct answer method, multiples of 7, and multiples of 21. The correct expression is the one that uses the factors of 7 and 21 that multiply to give 7 and add to give 21. By understanding the different ways to express 7+21 as a product of two factors, we can identify the correct expression and perform the arithmetic operation accurately.
Table: Factors of 7 and 21
| Factors | 7 | 21 |
|---|---|---|
| Factors of 7 | 1, 7 | 1, 21 |
| Factors of 21 | 1, 3, 7, 21 |
H2 Heading: Alternative Expressions
Alternative expressions for 7+21 can be used to represent the same arithmetic operation. These expressions include multiples of 7 and multiples of 21.
| Alternative Expressions | Multiples of 7 | Multiples of 21 |
|---|---|---|
| Multiples of 7 | 7, 14, 21, 28 | 21, 42, 63 |
| Multiples of 21 | 21, 42, 63 |
H2 Heading: Identifying the Correct Expression
To identify the correct expression, we need to find the factors of 7 and 21 that multiply to give 7 and add to give 21.
| Factors of 7 and 21 | Product of Factors | |
|---|---|---|
| Factors of 7 | 1 × 7 = 7 | 1 × 21 = 21 |
| Factors of 21 | 1 × 21 = 21 | 1 × 7 = 7 |
Conclusion:
In conclusion, the expression 7+21 can be represented in various ways, including the direct answer method, multiples of 7, and multiples of 21. The correct expression is the one that uses the factors of 7 and 21 that multiply to give 7 and add to give 21. By understanding the different ways to express 7+21 as a product of two factors, we can identify the correct expression and perform the arithmetic operation accurately.