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Without actual division, show that:

(a) 25 is a factor of 25025

Sagot :

GinnyAnsweridn
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.
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