Question
The area of a certain number of triangles is equal to the sum of the exponents of the prime factors of the number 1628, and each prime factor represents a triangle. Find the sum of areas of the triangles and find the number of the triangles. [4 MARKS]
Answer:
:
Prime factorization: 1 Marks
Number of Triangles: 1 Mark
Sum of the area: 1 Mark
Steps: 1 Mark
Given that,
The area of a certain number of triangles is equal to the exponents of the prime factors of the number 1628 and each prime factor represents a triangle.
Prime factors of 1628 are:
1628=22×3×7×19.
Since there are 5 prime factors,
⇒ The number of given triangles are = 5
The area of the triangles is the sum of powers of the prime factors.
⇒The sum of areas of the triangle = 2 + 1 + 1 + 1
= 5 square units
The number of triangles is 5 and the sum of areas of the triangle is 5 square units.
Was this answer helpful ?
:
Prime factorization: 1 Marks
Number of Triangles: 1 Mark
Sum of the area: 1 Mark
Steps: 1 Mark
Given that,
The area of a certain number of triangles is equal to the exponents of the prime factors of the number 1628 and each prime factor represents a triangle.
Prime factors of 1628 are:
1628=22×3×7×19.
Since there are 5 prime factors,
⇒ The number of given triangles are = 5
The area of the triangles is the sum of powers of the prime factors.
⇒The sum of areas of the triangle = 2 + 1 + 1 + 1
= 5 square units
The number of triangles is 5 and the sum of areas of the triangle is 5 square units.
Was this answer helpful ?
More Questions on This Topic :
Question 2. (102)2 = __.....
Question 3. Express 343 as a power of 7.....
Question 4. (25)2=−(25)2....
Question 5. Am×bm=(ab)m....
Question 7. In 104, 10 is the base and 4 is the __.....
Question 8. Say true or false:
(25)2=−(25)2....
Question 9. Write 0.1234 in standard form.....
Latest Videos
Latest Test Papers
Submit Solution