what are the prime factors of 9261
•step by step answer should be written
Answers
Answer: To find the prime factors, you start by dividing the number by the first prime number, which is 2. If there is not a remainder, meaning you can divide evenly, then 2 is a factor of the number. Continue dividing by 2 until you cannot divide evenly anymore. Write down how many 2's you were able to divide by evenly. Now try dividing by the next prime factor, which is 3. The goal is to get to a quotient of 1.
Step-by-step explanation: 9,261 ÷ 2 = 4,630.5 - This has a remainder. Let's try another prime number.
9,261 ÷ 3 = 3,087 - No remainder! 3 is one of the factors!
3,087 ÷ 3 = 1,029 - No remainder! 3 is one of the factors!
1,029 ÷ 3 = 343 - No remainder! 3 is one of the factors!
343 ÷ 3 = 114.3333 - There is a remainder. We can't divide by 3 evenly anymore. Let's try the next prime number
343 ÷ 5 = 68.6 - This has a remainder. 5 is not a factor.
343 ÷ 7 = 49 - No remainder! 7 is one of the factors!
49 ÷ 7 = 7 - No remainder! 7 is one of the factors!
7 ÷ 7 = 1 - No remainder! 7 is one of the factors!
The orange divisor(s) above are the prime factors of the number 9,261. If we put all of it together we have the factors 3 x 3 x 3 x 7 x 7 x 7 = 9,261. It can also be written in exponential form as 33 x 73.
Answer:
again all the prime numbers you used to divide above are the prime factors 9261 does the prime factors of 9261 are 3,3,3,7,7,7