32760 को अभाज्य गुणनखंड के गुणनफल के रूप में व्यक्त कीजिए
Answers
2, 2, 2, 3, 3, 5, 7, 13 or 2×2×2×3×3×5 ×7 ×13
Step-by-step explanation:
To find the prime factorization we need to divide the number by prime numbers so it can divide evenly without any remainder
So,
32,760/ 2 = 16,380 - 2 is a prime factor
16,380/ 2 = 8,190 -
8,190 ÷ 2 = 4,095 -
4,095/2 = 2,047.5 - There is a remainder.
try with the next prime number
4,095 /3 = 1,365
1,365 / 3 = 455
455 /3 = 151.6667 - There is a remainder. We can't divide by 3 evenly anymore.
try the next prime number
455/ 5 = 91
91 / 5 = 18.2 - There is a remainder. We can't divide by 5 evenly anymore.
try the next prime number
91/7 = 13 - No remainder! 7 is one of the factors!
13/7 = 1.8571 - there is a reminder.
try with next prime number
13/11 = 1.1818 - This has a remainder. 11 is not a factor.
13 /13 = 1 - No remainder! 13 is one of the factors!
So, we can write it as: 2, 2, 2, 3, 3, 5, 7, 13 or 2×2×2×3×3×5 ×7 ×13
Learn more:
prime factor of 3267 and 238 : https://brainly.in/question/19639935