Question
Is 1512 divisible by 2,3,4,5,6,9,10
225
likes1123 views
Answer to a math question Is 1512 divisible by 2,3,4,5,6,9,10
Santino
4.5112 Answers
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.
Frequently asked questions (FAQs)
What is the logarithmic property that states log base a of a to the power of b is equal to b times log base a of a?
+
What is the resultant displacement when a vector of magnitude 100 m is added to a vector of magnitude 150 m at an angle of 45 degrees clockwise from the positive x-axis?
+
What is the vertical asymptote of the logarithmic function y=log(x-5)?
+
New questions in Mathematics