determine the value of p and Q so that the prime factorization of 2520 is expressible as 23 * y *q * 7( step by step)
Answers
Answer:
if an object of 7 cm heght is placed at a distance of 12 cm from a convex lens of focal length 8 cm foind the position,nature and height of image
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Answer:
2 and 5 is the value of p and q respectively.
Given:
2^{3} \times 3^{p} \times q \times 72
3
×3
p
×q×7 is the prime factor of 2520.
To find:
Value of p and q
Solution:
To find the prime factor of the number 2520, we use the long division method in which the lowest prime factor other than 1 is used, in this case it is 2 after that we use variety of prime number odd or even, in the case of 2520 the factors are 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 7=2^{3} \times 3^{2} \times 5 \times 7.2×2×2×3×3×5×7=2
3
×3
2 ×5×7.
Now the question is written in form of 2 raise to power 3 \times 33×3 raise to powerp \times q \times 7p×q×7 , which means the first factor that is 2^{3}2
3
is same the next factor 3^{p}3
p
, here p = 2, and then next is q = 5.
Therefore, the value of p, q = 2, 5 respectively.
