Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Without actual division, show that:

(a) 25 is a factor of 25025

Sagot :

GinnyAnswer
Sure! Let's solve this step by step to determine if 25 is a factor of 25025. We can determine whether one number is a factor of another by examining certain properties of numbers, particularly focusing on divisibility rules.

### Divisibility Rule for 25

A number is divisible by 25 if the last two digits of the number form a number that is divisible by 25. For example:
- 100 is divisible by 25 (4 25 = 100)
- 225 is divisible by 25 (9 25 = 225)
- 50 is divisible by 25 (2 25 = 50)

### Apply the Rule

1. Identify the Last Two Digits:
- Observe the last two digits of 25025, which are "25".

2. Check if the Last Two Digits Form a Number Divisible by 25:
- The last two digits "25" form the number 25.
- Since 25 is clearly a multiple of 25 (1 25 = 25), the number 25025 meets the divisibility rule for 25.

### Conclusion
Since the last two digits of 25025 form the number 25, and 25 is divisible by 25, we can conclude that 25 is a factor of 25025 without performing any division.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.