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If 33 divides​ n, what other natural numbers divide​ n?

The other natural numbers that divide n are ___

Why do these other natural numbers divide​ n?
A. Because they also divide ​, which is a factor of n.
B. Because 33 is odd .
C. Because 3+3=6 and 6 divides n.

2 Answers

4 votes

Final answer:

The natural numbers that divide n are 1, 3, 11, and 33 because they are divisors of 33, which is a factor of n. This is explained by the fundamental theorem of arithmetic.

Step-by-step explanation:

If 33 divides n, the other natural numbers that divide n are 1, 3, 11, and 33. These numbers are all divisors of 33 and, by definition, if a number divides 33, it will also divide any multiple of 33, which includes n when 33 divides n.

Why do these other natural numbers divide n? The correct answer is A. Because they also divide 33, which is a factor of n. This is due to the fundamental theorem of arithmetic, which states that every integer greater than 1 is either a prime number or can be factored into a unique combination of prime numbers. Since 33 can be expressed as 3 x 11, both 3 and 11 are prime factors of 33 and thus are also factors of n.

User Rapptz
by
5.3k points
3 votes

b

Step-by-step explanation:

b would be correct because 33 is odd

User Mwalsher
by
5.5k points
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