Math, asked by deepaksingh73142, 9 months ago

32760 को अभाज्य गुणनखंड के गुणनफल के रूप में व्यक्त कीजिए​

Answers

Answered by histrionicus
4

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

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