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Grade 6 - Mathematics
1.21 Prime Factorization of Numbers up to 1000

Method:
  1. Factorize the given number
  2. The factors chosen need to be a prime number
Example: Find the prime factors of 504.
Solution:
Factorize the number 504
Correct Incorrect Incorrect
  • 504 = 2 x 252
  • 252 = 2 x 126
  • 126 = 2 x 63
  • 63 = 3 x 21
  • 21 = 3 x 7
504 = 2 x 2 x 2 x 3 x 3 x 7
  • 504 = 2 x 252
  • 252 = 4 x 63
  • 63 = 3 x 21
  • 21 = 3 x 7
504 = 2 x 4 x 3 x 3 x 7
  • 504 = 2 x 252
  • 252 = 2 x 126
  • 126 = 2 x 63
  • 63 = 9 x 7
504 = 2 x 2 x 2 x 9 x 7
2, 3 and 7 are prime numbers 4 is not a prime number 9 is not a prime number
Answer: 2 x 2 x 2 x 3 x 3 x 7


Directions: Find the prime factors of the following. Also write at least ten examples of your own.
Q 1: What are the factors of the number: 298?
1x2x2x149
1x2x3x149
1x2x149
1x2x2x2x149

Q 2: What are the factors of the number: 446?
1x2x3x223
1x2x223
1x2x2x2x223
1x2x2x223

Q 3: What are the factors of the number: 280?
1x2x2x2x5x7
1x2x2x2x2x5x7
1x2x2x2x2x2x5x7
1x2x2x2x3x5x7

Q 4: What are the factors of the number: 734?
1x2x2x2x367
1x2x367
1x2x3x367
1x2x2x367

Q 5: What are the factors of the number: 380?
1x2x2x3x5x19
1x2x2x5x19
1x2x2x2x2x5x19
1x2x2x2x5x19

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