When it comes to numbers and divisibility, it can sometimes be challenging to determine which numbers divide into a given number. In this article, we will explore the divisibility of the number 121 and provide you with the relevant information.

Prime Factorization of 121

Before delving into the divisibility of 121, it is essential to understand its prime factorization. Prime factorization is the process of breaking down a number into its prime factors, which are the numbers that can only be divided by 1 and themselves without leaving a remainder.

To determine the prime factors of 121, we need to find the product of prime numbers that multiply together to give 121. In this case, we have:

  • 121 = 11 * 11

Therefore, the prime factorization of 121 is 11 * 11.

Divisibility of 121

Now that we know the prime factorization of 121, we can determine which numbers divide evenly into it. Divisibility refers to the ability of a number to divide evenly, without leaving a remainder.

To check the divisibility of 121, we need to examine some potential divisors and see if they divide evenly into 121. Here are a few:

  • Is 3 a divisor of 121? No, because 121 ÷ 3 = 40 remainder 1.
  • Is 5 a divisor of 121? No, because 121 ÷ 5 = 24 remainder 1.
  • Is 11 a divisor of 121? Yes, because 121 ÷ 11 = 11 with no remainder.
  • Is 20 a divisor of 121? No, because 121 ÷ 20 = 6 remainder 1.

From the above examples, it is clear that only 1, 11, and 121 are divisors that can evenly divide 121.

In conclusion, the number 121 is divisible by 1, 11, and 121 itself. These are the only numbers that divide evenly into 121 without leaving a remainder. It is important to note that the divisibility of a number depends on its factors, and in the case of 121, its prime factorization of 11 * 11 reveals which numbers divide into it. Understanding divisibility can be helpful in various mathematical and problem-solving situations.

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