GCF, LCM, and Prime Factorization | Baamboozle - Baamboozle

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What is the prime factorization of 14?

14 = 2x7, because 2 and 7 are prime numbers

James has the same number of pencils and pens. He puts pencils in groups of 9 and pens in groups of 12. What is the smallest number of pens James can have?

The smallest number is 36, because the LCM is 36. Since 12x3= 36 and 9x4=36

What is the least common multiple of 14 and 8?

56 because, 14x4= 56 and 8x7=56

What number is the prime factorization 2x2x3x5

60, because 2x2x3x5= 60 and 2,2,3,and 5 are all prime factors

What is the greatest number of groups that we can make with 20 boys and 12 girls, if we want the same number of boys and girls in each group?

We can make 4 groups, because the GCF of 20 and 12 is 4. 20÷4= 5 and 12÷4=3

What can we divide both the numerator and denominator by in the fraction 12/18?

We can divide by 6 because the GCF of 12 and 18 is 6. 12÷6 = 2 and 18÷6=3

What is the least common denominator of 2/3 and 1/5?

The least common denominator is 15 because the lcm of 3 and 5 is 15. Since 15 is a multiple of both 3 and 5.

What is the prime factorization of 30?

2x3x5 = 30. because 2, 3, and 5 are all prime numbers

There are 10 pieces of gum, and there are 15 pieces of fruity candy, What is the greatest number of gift bags that can be made so that there are no items left over?

5 gift bags, because the gcf of 10 and 15 is 5. Since 10÷5=2 and 15÷5=3

Sophie has the same number of bracelets and rings. She puts bracelets in groups of 6 and rings in groups of 8. What is the smallest number of bracelets she can have?

24 bracelets. because the least common multiple of 6 and 8 is 24. since 6x4 = 24 and 8x3= 24

What is the greatest number that can be divided into 12 and 15?

3. because 12÷3= 4. and 15÷3 = 5

What number has the prime factorization of 2x2x2

8 = 2x2x2. or 8 = 2^3

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