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Math Grade 4-5 Answer Key

Multiples, Factors, and Prime Numbers

Finding patterns in numbers

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Multiples, Factors, and Prime Numbers

Finding patterns in numbers

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided.
  1. 1

    List the first 5 multiples of 4.

    Start at 4 and keep adding 4.

    The first 5 multiples of 4 are 4, 8, 12, 16, and 20.
  2. 2

    List all the factors of 12.

    The factors of 12 are 1, 2, 3, 4, 6, and 12 because each of these numbers divides 12 evenly.
  3. 3

    Tell whether 17 is prime or composite. Explain how you know.

    Check whether any numbers besides 1 and 17 divide it evenly.

    The number 17 is prime because it has exactly 2 factors, 1 and 17.
  4. 4

    Write the first 6 multiples of 7.

    The first 6 multiples of 7 are 7, 14, 21, 28, 35, and 42.
  5. 5

    Find all the factor pairs of 18.

    Look for two numbers that multiply to make 18.

    The factor pairs of 18 are 1 and 18, 2 and 9, and 3 and 6.
  6. 6

    Circle all the prime numbers: 9, 11, 13, 15, 19.

    The prime numbers are 11, 13, and 19 because each has exactly 2 factors.
  7. 7

    Find the greatest common factor of 8 and 12.

    List the factors of each number and find the greatest one they share.

    The greatest common factor of 8 and 12 is 4 because 4 is the largest number that divides both 8 and 12 evenly.
  8. 8

    Find the least common multiple of 3 and 5.

    The least common multiple of 3 and 5 is 15 because 15 is the smallest number that is a multiple of both 3 and 5.
  9. 9

    Is 21 a multiple of 3, a factor of 42, or both? Explain.

    Check multiplication and division facts for 21.

    The number 21 is both because 21 equals 3 times 7, so it is a multiple of 3, and 42 divided by 21 equals 2, so it is a factor of 42.
  10. 10

    List all the factors of 20.

    The factors of 20 are 1, 2, 4, 5, 10, and 20.
  11. 11

    Write the first 4 common multiples of 2 and 3.

    Find numbers that appear in both the multiples of 2 and the multiples of 3.

    The first 4 common multiples of 2 and 3 are 6, 12, 18, and 24.
  12. 12

    Tell whether 1 is prime, composite, or neither. Explain your thinking.

    The number 1 is neither prime nor composite because it has only 1 factor.
  13. 13

    Find the missing number: 5, 10, 15, __, 25. Tell what pattern you used.

    Look at how much the numbers increase each time.

    The missing number is 20. The pattern is counting by 5s, so each number is a multiple of 5.
  14. 14

    Find the greatest common factor of 15 and 25.

    The greatest common factor of 15 and 25 is 5 because 5 is the largest factor they both share.
  15. 15

    A number has exactly 2 factors, 1 and itself. What kind of number is it? Give one example.

    Think about the definition of a prime number.

    This kind of number is called a prime number. One example is 7 because its only factors are 1 and 7.
LivePhysics.com Math - Grade 4-5 - Answer Key