Introduction
Fifty-one employees are working at a candle-making factory. There are three departments in the company. These departments are the melting, finished product, and office departments. So, the company wants to divide the employees into those departments as evenly as possible. Use the factors of 51. Is that a possibility for the employees to be divided evenly into those three departments?
All Factors for 51
To find all the factors for 51, one of the best ways to do this is to follow a set of rules. These rules below will show you how to find these factors for 51.
With the candle-making factory, you should now be able to determine if the factory can evenly divide their 51 employees into those departments. First, based on the factors, 51 can be divided by 3 to get 17. Three and seventeen are factors of 51, and they are factor partners. So, with three departments, 17 employees will be working in each department of the candle-making factory. It can be done!
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Challenge Questions
Question 1List the factors of 51
Which positive whole numbers divide 51 without leaving a remainder?
The factors of 51 are 1, 3, 17, 51.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 51
Which multiplication pairs have a product of 51?
51 has these positive factor pairs: 1 × 51; 3 × 17.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 51
What is the prime factorization of 51?
51 = 3 × 17.
Every number in the product is prime.
