Write all the factors of the following number: 500
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. Now, 250 is still even, divide again by 2.
- 250÷2=125. At this point, 125 is not divisible by 2 but by 5.
- 125÷5=25. Continue with division by 5 as 25 is divisible by 5.
- 25÷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.
Consequently, these prime factors in multiplicity form are 5,5,5,2,2.
5,5,5,2,2