math

posted by sam

WHAT IS THE PRIME FACTORIZATION OF 45? and what is the sum of the only two prime numbers that differ by one ? Thank you

  1. Steve

    45 = 3^2 5^1

    2+3 = 5

  2. sam

    Thank you , but could you explain the factorization of 45? Idont get it

  3. Steve

    The easiest way to find the factors is to start with the smallest prime, and see whether it is a factor. Continue dividing successive primes until all you are left with is 1.

    Is 2 a factor of 45? No.

    How about he next prime (3)?
    3 divides 45 twice, so 3^2 is included in the list.
    45/3^2 = 5, so we keep going.

    5 divides 5 once, so 5^1 is in the list.
    5/5 = 1, so we are done.

    The list of factors is 3^2 5^1

    Consider 166600

    166600/2 = 83300
    83300/2 = 41650
    41650/2 = 20825
    2 does not divide 20825, so 2^3 is in the list

    3 does not divide 20825

    20825/5 = 4165
    4165/5 = 833
    5 does not divide 833, so 5^2 is in the list

    833/7 = 119
    119/7 = 17
    7 does not divide 17, so 7^2 is in the list

    17 is prime, so the final factorization is

    2^3 5^2 7^2 17

    As you can see, the method is quite simple, but very cumbersome for large numbers.

  4. sam

    Igot it now. Thank you so much

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Math

    Plz help don't know how to do this question. Write number 68 as a product of prime factors. Try to do prime factorazation. start dividing by 2 68 34 2 17 2*2 Can you go any further?
  2. Math

    What is a unit rate? what is the prime factorazation for 945?
  3. math/prime factorization

    what is the prime factorazation for these numbers 36,180,525,165
  4. math

    What methods can you use to find prime numbers?
  5. math

    my number is a multiple of 5, but doesnt end in 5, the prime factorization of my number is a string three numbers, two of the numbers in the prime factorization are the same, my number is bigger than the seventh square number
  6. math

    Which numbers between 40 and 49 have 2 and 3 in their prime factorization?
  7. Math

    1. Is it possible for a composite number to have more than one prime factorization?
  8. Math

    Is it possible for a composite number to have more than one prime factorization?
  9. math

    Part 1:Is it possible for a composite number to have more than one prime factorization?
  10. Math

    1.) Is it possible for a composite number to have more than one prime factorization?

More Similar Questions