List All the Factors of Number 500: A Step-by-Step Approach

Question

Write all the factors of the following number: 500 500

Video Solution

Step-by-Step Solution

Let's solve the problem step-by-step by performing prime factorization:

  • Step 1: Begin with the number 500. The smallest prime number is 2, and 500 is even, so divide 500 by 2.
  • 500÷2=250 500 \div 2 = 250 . Now, 250 is still even, divide again by 2.
  • 250÷2=125 250 \div 2 = 125 . At this point, 125 is not divisible by 2 but by 5.
  • 125÷5=25 125 \div 5 = 25 . Continue with division by 5 as 25 is divisible by 5.
  • 25÷5=5 25 \div 5 = 5 . Finally, divide by 5 to get 1.
  • The prime factors of 500 are therefore 2, 2, 5, 5, and 5.

Thus, the complete prime factorization of 500 is 22×53 2^2 \times 5^3 .

Consequently, these prime factors in multiplicity form are 5,5,5,2,2 5, 5, 5, 2, 2 .

Answer

5,5,5,2,2 5,5,5,2,2