Page 48 - Maths Skill - 6

46 Maths

Let’s Attempt

Example 1: Find the prime factors of 352 by factor Example 3: Using division method, find the prime
tree method. factors of 1512.
Solution: Solution: 2 1512
352
2 756

2 176 2 378
3 189
2 88 3 63
3 21
2 44
7 7
2 22 1

2 11 Thus,
Thus, 352 = 2 × 2 × 2 × 2 × 2 × 11 1512 = 2 × 2 × 2 × 3 × 3 × 3 × 7

Example 2: Find the prime factors of 2904 by factor Example 4: Write the greatest 6-digit number and
tree method. express it as a product of primes.

Solution: Solution: The greatest 6-digit number = 999999
2904
3 999999
2 1452 3 333333

3 111111
2 726 7 37037

11 5291
2 363
13 481
3 121 37 37
1

11 11
Thus,
Thus, 2904 = 2 × 2 × 2 × 3 × 11 × 11 999999 = 3 × 3 × 3 × 7 × 11 × 13 × 37

Exercise 3.4

1. Find the prime factors of the following by factor tree method.

(i) 3502 (ii) 2907 (iii) 945
2. What is the prime factorization of a prime number?

3. Is 9 = 1 × 9 the prime factorization of 9?
4. Using division method, find the prime factors of the following numbers.

(i) 216 (ii) 1729 (iii) 12000 (iv) 1197