Sp Prime and Composite Numbers Level 1 If you need help. Lee Student's Beok pages 2104 a \( 25=1 \times 25 \) \[ =\ldots \] \( \qquad \) The factors of 25 are \( \qquad \) 25 is a \( \qquad \) 25 has \( \qquad \) factors. b \( 31= \) \( \qquad \) \( \times \) \( \qquad \) The factors of 31 ore \( \qquad \) 31 is a \( \qquad \) number. 31 has \( \qquad \) factors. c What is the same and what is different between the numbers 25 and 31 ? \( \qquad \) \( \qquad \)

Below is one way to complete and explain the problem: ────────────────────────────── a) For 25: • Write a multiplication fact: 25 = 1 × 25   (You could also note that 25 = 5 × 5, which shows another factor.) • List the factors: The factors of 25 are 1, 5, and 25.   (Remember: Although 5 × 5 = 25 only gives one unique factor of 5, we list it only once.) • Describe the number: 25 is a composite number (because it has factors other than just 1 and itself). • Count the factors: 25 has 3 factors. ────────────────────────────── b) For 31: • Write a multiplication fact: 31 = 1 × 31 • List the factors: The factors of 31 are 1 and 31. • Describe the number: 31 is a prime number (because its only positive factors are 1 and itself). • Count the factors: 31 has 2 factors. ────────────────────────────── c) Comparison between 25 and 31: • What they have in common:   – Both numbers have 1 and the number itself as factors.   – They are positive integers. • What is different:   – 25 has an extra factor (5) besides 1 and itself, so it is composite.   – 31, having only the factors 1 and 31, is a prime number.   – Additionally, 25 is a perfect square (5²) while 31 is not. ────────────────────────────── This setup shows the key differences between composite and prime numbers using 25 and 31 as examples.