Find the prime factorisation of 4641.
Answers
Answer:
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 4,641 by 2
4,641 ÷ 2 = 2,320.5 - This has a remainder. Let's try another prime number.
4,641 ÷ 3 = 1,547 - No remainder! 3 is one of the factors!
1,547 ÷ 3 = 515.6667 - There is a remainder. We can't divide by 3 evenly anymore. Let's try the next prime number
1,547 ÷ 5 = 309.4 - This has a remainder. 5 is not a factor.
1,547 ÷ 7 = 221 - No remainder! 7 is one of the factors!
221 ÷ 7 = 31.5714 - There is a remainder. We can't divide by 7 evenly anymore. Let's try the next prime number
221 ÷ 11 = 20.0909 - This has a remainder. 11 is not a factor.
221 ÷ 13 = 17 - No remainder! 13 is one of the factors!
17 ÷ 13 = 1.3077 - There is a remainder. We can't divide by 13 evenly anymore. Let's try the next prime number
17 ÷ 17 = 1 - No remainder! 17 is one of the factors!
Step-by-step explanation:
Answer:
The prime factors are: 3 x 7 x 13 x 17
or also written as { 3, 7, 13, 17 }
Written in exponential form: 31 x 71 x 131 x 171
Step-by-step explanation:
Here are the first several prime factors: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...
Let's start by dividing 4,641 by 2
4,641 ÷ 2 = 2,320.5 - This has a remainder. Let's try another prime number.
4,641 ÷ 3 = 1,547 - No remainder! 3 is one of the factors!
1,547 ÷ 3 = 515.6667 - There is a remainder. We can't divide by 3 evenly anymore. Let's try the next prime number
1,547 ÷ 5 = 309.4 - This has a remainder. 5 is not a factor.
1,547 ÷ 7 = 221 - No remainder! 7 is one of the factors!
221 ÷ 7 = 31.5714 - There is a remainder. We can't divide by 7 evenly anymore. Let's try the next prime number
221 ÷ 11 = 20.0909 - This has a remainder. 11 is not a factor.
221 ÷ 13 = 17 - No remainder! 13 is one of the factors!
17 ÷ 13 = 1.3077 - There is a remainder. We can't divide by 13 evenly anymore. Let's try the next prime number
17 ÷ 17 = 1 - No remainder! 17 is one of the factors!
The orange divisor(s) above are the prime factors of the number 4,641. If we put all of it together we have the factors 3 x 7 x 13 x 17 = 4,641. It can also be written in exponential form as 31 x 71 x 131 x 171.
Factor Tree
Another way to do prime factorization is to use a factor tree. Below is a factor tree for the number 4,641.