![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
Try to explain that 5 ^ 23-5 ^ 21 can be divided by 3
5^23-5^21
=5^21×(5^2-1)
=5^21×24
=5^21×8×3
So 5 ^ 23-5 ^ 21 can be divided by 3
RELATED INFORMATIONS
- 1. Prove the characteristics of numbers divisible by 11 I want to prove, prove
- 2. What are the characteristics of integers divisible by 3, 4, 7, 8, 9, 11, 13 and 25?
- 3. Characteristics of numbers divisible by 4,7,8,9,11,13,25125
- 4. Characteristics of numbers divisible by 3,6,7,8,9,11,25
- 5. Characteristics divisible by 2,3,5,7,9,11,13,4,25?
- 6. There are five cards with 1, 3, 4, 6 and 8. How many numbers can be divided by 2
- 7. There are five cards with the numbers of 0, 4, 5, 6 and 7. Among the three digits, there are () which can be divided by 4
- 8. There are five cards: 0, 1, 5, 7, 6. Choose four of them to form a four digit number so that the number can be divided by two and three. What is the maximum number
- 9. Three digital cards can be formed______ A different integer divisible by four
- 10. There are five cards whose numbers are 0, 4, 5, 6 and 7 respectively. Three of them form a three digit number, among which () are multiples of 4 A. 12B. 13C. 14D. 15
- 11. Try to explain that 523-521 can be divided by 120
- 12. Try to explain: 11 ^ 10 - 1 can be divided by 10 ^ 2 Using the square difference formula
- 13. Try to explain that the 11th power of 5 - the 10th power of 5 + the 9th power of 5 can be divided by 21
- 14. Take 6 numbers from the 10 numbers 0-9 to form a maximum 6-digit number divisible by 11
- 15. Four of the five numbers 0, 1, 3, 5 and 7 can form many four digit numbers that can be divided by 11. What is the smallest four digit number?
- 16. In all two digits, take any number and find the probability that the number can be divided by 2 or 3
- 17. In all two digits, take any number and find the probability that the number can be divided by 2 or 3
- 18. What is the probability that any one of the two digits can be divided by 2 or 3
- 19. Take any number from 1-1000 integers to calculate the probability that the data can be divided by 2 or 5
- 20. The probability that any number from 1 to 100 can be divided by 5 or 7