Question
Is 1512 divisible by 2,3,4,5,6,9,10
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Answer to a math question Is 1512 divisible by 2,3,4,5,6,9,10
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Solution:
1. To check divisibility, we must see if 1512 can be divided by each of the given numbers without leaving a remainder.
2. Divisibility by 2:
- A number is divisible by 2 if its last digit is even.
- 1512 has a last digit 2, which is even.
3. Divisibility by 3:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- Sum of the digits:1 + 5 + 1 + 2 = 9
4. Divisibility by 4:
- A number is divisible by 4 if the last two digits form a number divisible by 4.
- The last two digits of 1512 are 12, which is divisible by 4.
5. Divisibility by 5:
- A number is divisible by 5 if its last digit is 0 or 5.
- 1512 has a last digit of 2, which does not meet this criterion.
6. Divisibility by 6:
- A number is divisible by 6 if it is divisible by both 2 and 3.
- As verified earlier, 1512 is divisible by both 2 and 3.
7. Divisibility by 9:
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- Sum of the digits:1 + 5 + 1 + 2 = 9
8. Divisibility by 10:
- A number is divisible by 10 if its last digit is 0.
- 1512 has a last digit of 2, which does not meet this criterion.
Answer:
1. 1512 is divisible by: 2, 3, 4, 6, 9.
2. 1512 is not divisible by: 5, 10.
1. To check divisibility, we must see if 1512 can be divided by each of the given numbers without leaving a remainder.
2. Divisibility by 2:
- A number is divisible by 2 if its last digit is even.
- 1512 has a last digit 2, which is even.
3. Divisibility by 3:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- Sum of the digits:
4. Divisibility by 4:
- A number is divisible by 4 if the last two digits form a number divisible by 4.
- The last two digits of 1512 are 12, which is divisible by 4.
5. Divisibility by 5:
- A number is divisible by 5 if its last digit is 0 or 5.
- 1512 has a last digit of 2, which does not meet this criterion.
6. Divisibility by 6:
- A number is divisible by 6 if it is divisible by both 2 and 3.
- As verified earlier, 1512 is divisible by both 2 and 3.
7. Divisibility by 9:
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- Sum of the digits:
8. Divisibility by 10:
- A number is divisible by 10 if its last digit is 0.
- 1512 has a last digit of 2, which does not meet this criterion.
Answer:
1. 1512 is divisible by: 2, 3, 4, 6, 9.
2. 1512 is not divisible by: 5, 10.
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