Question

Find the prime factorization of each of these integers.

a.)39 b) 81 c) 101 d) 143 e) 289 f) 899

Short answer

1. $39=3*13$
2. $81=3^{\wedge }4$
3. $101=101$
4. $143=11*13$
5. $289={17}^{\wedge }2$
6. $889=29*31$
   

Step-by-step solution

Step 1

When trying to find the prime factorization, we want to find prime numbers that when multiplied, give us our original number. Some are easy to see, like $39=3*13$. Others themselves are prime, like 101 . For smaller numbers, you can play around with a calculator and prime numbers you know. Larger numbers will take a little more effort…

Step 2

1. $39=3*13$
   
2. $81=3^{\wedge }4$
   
3. $101=101$
   
4. $143=11*13$
   
5. $289={17}^{\wedge }2$
   
6. $889=29*31$