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

Write all the factors of the following number: 500 500

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Step-by-step video solution

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00:04 Let's find all the prime factors of this number.
00:07 Since the last digit is zero, two is a prime factor.
00:13 Divide by two. Then use the result to find more factors.
00:17 Again, the last digit is zero. So, two is still a prime factor.
00:22 Let's divide by two again and find more factors.
00:26 This time, the last digit is five. So, five is a prime factor.
00:32 Divide by five. Next, keep going to find more factors.
00:36 Once more, the last digit is five. So, five is again a factor.
00:42 Divide by five. And look for additional factors.
00:46 Now, our result is a prime number. It's a factor by itself.
00:51 And that's how we solve this problem. Great job!

Step-by-step written solution

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1

Understand the problem

Write all the factors of the following number: 500 500

2

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 .

3

Final Answer

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

Practice Quiz

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Write all the factors of the following number: \( 5 \)

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