Answer:
Explanation:
To find the prime factorization of 290, we need to break it down into its prime factors.
Step 1: Start by dividing 290 by the smallest prime number, which is 2.
290 ÷ 2 = 145
Step 2: Continue dividing the quotient from Step 1 by the smallest prime number, which is 2, until we can no longer divide evenly.
145 ÷ 2 = 72.5 (not divisible evenly)
Step 3: Move on to the next prime number, which is 3, and divide the current quotient from Step 2 by 3.
145 ÷ 3 = 48.33 (not divisible evenly)
Step 4: Repeat Step 3 with the next prime number, which is 5.
145 ÷ 5 = 29
Step 5: We have now reached a prime number. 29 cannot be divided any further, so we have found the prime factorization of 290.
The prime factorization of 290 is 2 x 5 x 29.