Math

What are the factors for 36,27,30,75,,90,84

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  1. To find the factors of a number, you need to find all of the numbers that can go into it evenly.

    For instance, the factors of 36 are:
    1, 36, 2, 18, 3, 12, 4, 9, 6

    If you post the factors of the other numbers, we'll be glad to check them for you.

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    Ms. Sue
  2. What are the factors for 36,27,30,75,,90,84

    * Factoring or factorization is the process of breaking down a composite number into its prime factors and their respective exponents.

    * Every composite number can be factored into a unique set of prime factors N = (p^a)(q^b)(r^c).....

    * An integer p > 1 is called a prime number, or a prime, when its only divisors are +/- 1 and +/- p.

    * Any number m > 1 that is not a prime is called a composite and results from multiplying primes together.

    * The number 1 is the only number that is a factor of all other numbers.

    *--Two integers, a and b, are said to be relatively prime when their greatest common divisor is 1.

    * The factors, or divisors, of a number N are any numbers that evenly divide it. For example, the factors/divisors of
    28 are 1, 2, 4, 7, 14 and 28. While all of these are also evenly divisible by their negative counterparts, it is
    universally accepted that the positive factors/divisors are what is meant.,

    * The proper factors/divisors of a number N are any numbers that evenly divide N other than N itself. For example,
    the proper factors/divisors of 12 are considered to be 1, 2, 3, 4 and 6. This is the generally accepted definition of
    proper factors/divisors.
    There exists some disagreement as to whether the number 1 should be considered a proper factor. Some
    mathematicians believe that the proper factors of a number N are any numbers that evenly divide N other than 1
    and N. For example, under this definition, the proper factors of 12 are 2, 3, 4 and 6.

    * The total number of factors/divisors of a number N, less the number itself, are often referred to as the aliquot parts, or aliquot divisors, of the number.

    Divide the number N by all prime numbers less than sqrt(N).

    Take 84 for instance.
    84/2 = 42
    42/2 = 21
    21/3 = 7
    7/7 = 1

    Therefore, the prime factorization of the number 84 is 2^2(3)7.

    The exponents of 3 and 7 are 1.

    The total number of factors/divisors of any number derives from F(N) = (1 + a)(1 + b)(1 + c), etc. where a, b and c are the exponents of the prime factors ofo the number.

    Therefore, the total number of factors of 84 are then (2 + 1)(1 + 1)(1 + 1) = 12, or 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

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