2. Write the smallest and greatest factor of 36
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Answer:
36 is a composite number, and it is 6 squared. 36 = 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6. Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36. Prime factorization: 36 = 2 x 2 x 3 x 3, which can also be written 36 = 2² x 3².
Step-by-step explanation:
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The smallest factor of 36 is 1 and the greatest factor of 36 is 36.
Concept used:
FACTOR:
The number that divides a given number exactly are called its factors.
For, eg:
- 8 can be divided completely only by 1, 2, 4, and 8. Therefore, 1, 2, 4, and 8, are called the factors or divisors of 8.
- 20 can be divided completely only by 1, 2, 4,5,10, and 20. Therefore, 1, 2, 4, 5,10, and 20, are called the factors or divisors of 20.
Given: Number - 36
To find: The smallest and greatest factor of 36
Solution:
Factors of 36 are : 1 x 36, 2 x 18, 3 x 12, 4 x 9, or 6 x 6.
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Hence, the smallest factor of 36 is 1 and the greatest factor of 36 is 36.
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