What are the prime factors of 131?

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    2024-05-13T09:21:47+00:00

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    What is a factor?

    A factor is a number that divides the given number exactly.

    Example: 

    • Factors of 2 = 1, 2.
    • Factors of 3 = 1, 3.
    • Factors of 4 = 1, 2, 4.

    What is a Prime Number?

    A prime number has only two factors 1 and the number itself.

    For example: 2, 3. 5, 7, 11, 13, etc.

    What is Prime Factor or Factorisation?

    The factorisation is a process by which a whole number is broken down into factors and each factors is a prime number such factorization is called prime factorisation.

    What is the prime factors of 131?

    To find prime factors of 131. We divide 131 by 2 which is the smallest prime number.

    Since 131 is an odd number, so it is not divisible by 2.

    Now, we try dividing 131 by next smallest prime number 3.

    But 131 is not divisible by 3. Then we try dividing it by the next prime number 5 but 131 is also not divisible by 5.

    We continue this process until we find a prime number that divides 131 completely.

    However 131 is a prime number, it is not divisible by another prime number.

    So, 131 is divisible by 131 itself.

    Therefore prime factorization of 131 is 131.

    Final answer: 131.

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