To solve the problem of finding three consecutive natural numbers whose product is 210, we can follow these steps:
Step 1: Understand the problem
We need three consecutive numbers (n, n+1, n+2) such that their product equals 210.
Step 2: Factorize 210
First, factorize 210 into its prime factors:
(210 = 2 \times 3 \times 5 \times 7)
Step 3: Group factors into consecutive numbers
We need to combine these primes into three consecutive integers. Observing the factors:
- 5 is a prime number.
- (2 \times 3 = 6) (next to 5).
- 7 is the next prime after 6.
Thus, the three consecutive numbers are 5, 6, and 7.
Step 4: Verify
Check the product: (5 \times 6 \times 7 = 210), which matches the given product.
Answer: 5, 6, 7.
(\boxed{5}), (\boxed{6}), (\boxed{7}) (or as a combined answer: (\boxed{5,6,7})) depending on the required format. Since the problem asks for the three numbers, the standard answer is 5,6,7.
Final answer: (\boxed{5}) (\boxed{6}) (\boxed{7}) (or if allowed as a single box: (\boxed{5,6,7}))
But usually, in such problems, the answer is written as the three numbers separated by commas. So the final answer is (\boxed{5,6,7}).
(\boxed{5,6,7})
作者声明:本文包含人工智能生成内容。
