Introduction :
In Mathematics, the basic theorem of arithmetic states that each composite number can be factorized uniquely into a product of prime factors. A number is a prime number if its only whole number factors are 1 and itself. 7 are primes because its only factors are 1 and 7. If a number is not primes, it is called a composite number.
Because 4 have factors of 2 and 2, 4 is a composite number. The number 1 is not considered a prime number. Therefore, it is not included in the following list of prime numbers less than 50
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Word Problems about Prime Factorizations – Definition and Example Problems:
Word problems about prime factorizations – Definition:
A whole number greater than 1 with precisely two factors, itself and 1, is a prime number. A whole number greater than 1 with above 2 factors is a composite number. The numbers 0 and 1 are neither prime nor composite: 0 has infinite factor, and 1 only has one factor, itself.
The number 2 is the only even prime number. A number expressed as a produce of factors that are all prime is called the prime factorizations of the number. For example, the prime factorizations of 12 are 2 x 2 x 3. There are two main ways of finding the primes of a number: dividing and splitting.
Word problems about prime factorizations - Example problems:
Word problem 1:
Jim purchased some oranges to distribute to her friends. If she gave 3 or 5 or 6 oranges to each of her friends she will be left with 100 oranges. What is the least number of oranges she purchased?
Solution:
The L.C.M of 3, 5, 6 = 30
100 + 30 = 130
The least number of oranges she purchased is 130.
Solution: 130 oranges.
Word problem 2:
George wished to buy some crackers. If he gave 2 crackers or 3 crackers or 5 crackers to each of his friends, he is left with no crackers. What is the least number of crackers he must purchase?
Solution:
George wished to buy some crackers.
The L.C.M of 2, 4, 5 = 20
The least number of crackers he purchased is 20.
Solution: 20 crackers.
Between, if you have problem on these topics prime numbers 1-100 chart, please browse expert math related websites for more help on properties of prime numbers.
Word Problems about Prime Factorizations – Practice Problems:
Word problem 1:
Jane purchased a few oranges to distribute to her friends. If she gave 4 or 5 or 6 oranges to each of her friends she will be left with 15 oranges. What is the least number of oranges she purchased?
Answer: 75 oranges she purchased.
Word problem 2:
Three clocks ring once at the same time. After that, the first clock rings after every 3 hours, the second after every 7 hours, and third after every 5 hours. After how many hours will they again ring together?
Answer: 105 hours will they again ring together.
Word problem 3:
What is the smallest number of students required so that they may be uniformly arranged in rows of 12, 14 or 20?
Answer: 252 arranged students
In Mathematics, the basic theorem of arithmetic states that each composite number can be factorized uniquely into a product of prime factors. A number is a prime number if its only whole number factors are 1 and itself. 7 are primes because its only factors are 1 and 7. If a number is not primes, it is called a composite number.
Because 4 have factors of 2 and 2, 4 is a composite number. The number 1 is not considered a prime number. Therefore, it is not included in the following list of prime numbers less than 50
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Word Problems about Prime Factorizations – Definition and Example Problems:
Word problems about prime factorizations – Definition:
A whole number greater than 1 with precisely two factors, itself and 1, is a prime number. A whole number greater than 1 with above 2 factors is a composite number. The numbers 0 and 1 are neither prime nor composite: 0 has infinite factor, and 1 only has one factor, itself.
The number 2 is the only even prime number. A number expressed as a produce of factors that are all prime is called the prime factorizations of the number. For example, the prime factorizations of 12 are 2 x 2 x 3. There are two main ways of finding the primes of a number: dividing and splitting.
Word problems about prime factorizations - Example problems:
Word problem 1:
Jim purchased some oranges to distribute to her friends. If she gave 3 or 5 or 6 oranges to each of her friends she will be left with 100 oranges. What is the least number of oranges she purchased?
Solution:
The L.C.M of 3, 5, 6 = 30
100 + 30 = 130
The least number of oranges she purchased is 130.
Solution: 130 oranges.
Word problem 2:
George wished to buy some crackers. If he gave 2 crackers or 3 crackers or 5 crackers to each of his friends, he is left with no crackers. What is the least number of crackers he must purchase?
Solution:
George wished to buy some crackers.
The L.C.M of 2, 4, 5 = 20
The least number of crackers he purchased is 20.
Solution: 20 crackers.
Between, if you have problem on these topics prime numbers 1-100 chart, please browse expert math related websites for more help on properties of prime numbers.
Word Problems about Prime Factorizations – Practice Problems:
Word problem 1:
Jane purchased a few oranges to distribute to her friends. If she gave 4 or 5 or 6 oranges to each of her friends she will be left with 15 oranges. What is the least number of oranges she purchased?
Answer: 75 oranges she purchased.
Word problem 2:
Three clocks ring once at the same time. After that, the first clock rings after every 3 hours, the second after every 7 hours, and third after every 5 hours. After how many hours will they again ring together?
Answer: 105 hours will they again ring together.
Word problem 3:
What is the smallest number of students required so that they may be uniformly arranged in rows of 12, 14 or 20?
Answer: 252 arranged students
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