The factor pairs of 35 are (1, 35) and (5, 7).
Understanding Factor Pairs of 35
A factor pair consists of two numbers that, when multiplied together, yield the original number. For the number 35, we are looking for pairs of integers whose product is 35.
The factors of 35 are 1, 5, 7, and 35. Among these, 1 is the smallest factor and 35 is the largest. By combining these factors into pairs that multiply to 35, we can identify all its factor pairs.
Identifying the Factor Pairs of 35
To find the factor pairs, you systematically check which factors can be multiplied together to get 35:
- 1 x 35 = 35
- 5 x 7 = 35
These are the only unique pairs of whole numbers that multiply to 35.
Here is a clear breakdown of the factor pairs for 35:
| Pair 1 | Pair 2 | Product |
|---|---|---|
| 1 | 35 | 35 |
| 5 | 7 | 35 |
Understanding factor pairs is fundamental in number theory, helping with concepts like prime factorization, simplifying fractions, and solving algebraic equations.
