To express the number 7007 as a product of its prime factors, we need to break it down into its basic building blocks, which are prime numbers. Here is a step-by-step breakdown:
1. Identify Prime Factors:
- The number 7007 can be factored into prime numbers.
- The prime factors of 7007 are 7, 11, and 13.
2. Express Number as Product of Prime Factors:
- We write 7007 as a product of these prime factors.
Therefore, [tex]\( 7007 = 7 \times 11 \times 13 \)[/tex].
Thus, the prime factorization of 7007 is [tex]\( 7 \times 11 \times 13 \)[/tex].