Below are six versions of our grade 6 math worksheet on factoring numbers less than 100 to their prime factors. These worksheets are pdf files. 5 More Become a Member These bonus worksheets are available to members only. Join K5 to save time, skip ads and access member only features. Learn More More factoring & prime factors worksheetsExplore all of our factoring worksheets, from factoring numbers under 50 to prime factor trees, GCFs and LCMs. Prime factorization worksheets 6th grade will help students learn about the concept of prime factorization of a given number, i.e., which prime numbers when multiplied, will result in a given number. These 6th grade math worksheets provide students with answer keys having detailed step-by-step solutions. Benefits of 6th Grade Prime Factorization WorksheetsPrime factorization worksheets 6th grade introduces the students to two methods of prime factorization, i.e. the division and the factor tree method. As students have already learned the basics of prime numbers, these worksheets will help them retain those concepts as well as explore new numbers for prime factorization. With a variety of questions to practice, starting from the easy ones moving towards complex ones, students will get confident in learning the factorization process. This will help them in quicker calculations for their math studies. Printable PDFs for Grade 6 Prime Factorization WorksheetsThese prime factorization worksheets in 6th grade are free to download and can be easily printed out.
Explore more topics at Cuemath's Math Worksheets.
Prime Factorization Worksheets
Welcome to our Prime Factorization Worksheets page. Here you will find our selection of worksheets involving finding prime factorizations for a range of numbers, and for solving prime factor problems. We have a range of sheets at different levels of difficulty. Prime Factorization WorksheetsUsing these factor tree worksheets will help your child to:
These sheets are aimed at students from 6th grade and upwards. We also have a link to our Prime Factorization Calculator which will quickly and easily show you all the prime factors of any number. What is prime factorization?To find out more about prime factorization, including how it works and to look at some worked examples, take a look at our prime factorization support page. Examples of Prime FactorizationExample 1) Find the prime factorization of 40. 40 is even, so we know that 2 is a factor (as well as being prime) 40 = 2 x 20. Now we move on to the number 20. Again 20 is even, so 2 is a factor. 20 = 2 x 10 So 40 = 2 x 20 = 2 x 2 x 10 Now we factorize 10 into 2 x 5 (both prime numbers) and we cannot go any further, as all the numbers are prime. So 40 = 2 x 20 = 2 x 2 x 10 = 2 x 2 x 2 x 5 Our final answer is 40 = 2 x 2 x 2 x 5 = 23 x 5 Example 2) Find the prime factorization of 45. 45 is odd, so 2 is not a factor. As the number ends in a 5 we know that 5 is a factor. 45 = 5 x 9. Now we have to factorize 9. 9 = 3 x 3 (which is a prime number). This gives us: 45 = 5 x 9 = 5 x 3 x 3 Our final answer is 45 = 3 x 3 x 5 = 32 x 5 Example 3) Find the prime factorization of 126. 126 is even, so 2 is a factor. 126 = 2 x 63 Now we need to factorize 63. 63 = 7 x 9. 7 is prime, but 9 is not Now we have to factorize 9. 9 = 3 x 3 (which is a prime number). This gives us: 126 = 2 x 63 = 2 x 7 x 9 = 2 x 7 x 3 x 3 Our final answer is 126 = 2 x 3 x 3 x 7 = 2 x 32 x 7 Prime Factorization WorksheetsAll the worksheets have answers provided. The answers are given with the factors in ascending order. The sheets get gradually harder in each section. We have split the sheets into 3 different sections:
Prime Factorization Worksheets - 1st Section
Prime Factorization Worksheets - Riddles - 2nd Section
These sheets involve solving prime factorization riddles. There are 2 riddles on each sheet and 8 possible answers. By correctly working out the clues in each riddle, all the incorrect answers are eliminated leaving just one correct answer.
Prime Factorization Worksheets - Challenges - 3rd SectionOur prime factorization challenges are a great way to stretch more able students. The challenges involve finding all possible numbers that have certain features involving prime factors.
Prime Factorization Walkthrough VideoThis short video walkthrough shows several problems from our Prime Factorization Worksheet 3 being solved and has been produced by the West Explains Best math channel. If you would like some support in solving the problems on this page, check out the video!
More Recommended Math WorksheetsTake a look at some more of our worksheets similar to these. Factors and Multiples WorksheetsWe have worksheets to help you understand more about factors and multiples. They are aimed at a 4th/5th grade level. Prime Factorization CalculatorOur prime factorization calculator will help you factor any number into a product of its prime factors. It will show the answer in exponential form as well as standard form. You can use this calculator to check that your prime factors in your factor trees are correct. Factor Tree WorksheetsUsing factor trees is a great visual way to understand prime factorization. The worksheets on the link below are at an easier level to the sheets on this page and help children learn all about factor trees and prime factors. Greatest Common Factor WorksheetsAs well as our calculator, we also have a range of greatest common factor worksheets. These sheets have been designed for 6th and 7th grade students. They will help students learn and practice finding the greatest common factor of numbers up to 100. Least Common Multiple WorksheetsWe have a range of worksheets on how to find the least common multiple of two or three numbers. The sheets vary in difficulty, and are suitable for 6th grade and up. Sieve of ErastosthenesThe Sieve of Erastosthenes is a method for finding what is a prime numbers between 2 and any given number. Eratosthenes was a Greek mathematician (as well as being a poet, an astronomer and musician) who lived from about 276BC to 194BC. If you want to find out more about his sieve for finding primes, and print out some Sieve of Eratosthenes worksheets, use the link below. Want to find out more about primes?Take a look at our Prime Number page which clearly describes what a prime numbers is and what they are not. There are also many different questions about prime numbers answered, as well as information about the density of primes. Divisibility Rules 1-10 ChartWe have a range of charts which can help you determine whether a number between 1 and 10 is a factor of a number. 6th Grade Mental Math QuizzesHere you will find a range of printable mental math 6th grade quizzes for your child to enjoy. Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions. A great way to revise topics, or use as a weekly math quiz! How to Print or Save these sheets
Need help with printing or saving?
How to Print or Save these sheets
Need help with printing or saving?
Math-Salamanders.com
The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources. We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page. How do you solve prime factorization questions?Prime numbers are those numbers which have two factors 1 and the number itself. For example, 2, 3, 5, 7, 11, 13, 17, …, and factorisation means writing the number or expression as the product of its factors.
...
Solution:. What is the prime factor of 72?For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.
What's the prime factorization of 36?Thus, if we write 36 as a product of all of its prime factors, we can find the prime factorization of 36. We can write 36 as a product of prime factors: 36 = 2² × 3².
|