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Chapter 4: Q60. (page 174)

Use the prime factorization to list all of its factors.

500

Short Answer

Expert verified

The list of all the factors of 500 is: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

Step by step solution

01

  Define prime factorization

When a number is written as a product of prime numbers it is defined as prime factorization, wherein, prime numbers are defined as whole numbers that is greater than 1 and has exactly two whole number factors 1 and itself.

02

  State the concept of prime factorization

Calculate the factors by dividing every possible number. Then take the result from that and divide that by the smallest prime number. Repeat this process until you end up with the smallest possible prime number.

03

  Do the prime factorization by making factor tree

Expand 335 as per one possible factor tree 50脳10and get,

500鈫�鈫�50脳10鈫�鈫�鈫�鈫�5鈫�5鈥�脳10鈥夆赌夆赌�鈫�2脳5脳2鈫�2脳5鈫�5

The prime factorization of 500=22脳53. Therefore, the list of the factors of 500 is: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

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