Question

find the square root of 298116 by prime factorization.
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Answer 1

ANSWER : 546

PRIME factorization OF 298116

= 2x2x3x3x7x7x13x13

THUS ✓298116

= 2x3x7x13

= 546

Answer 2

Answer:

Solution:

2 | 298116

2 | 149058

3 | 74529

3 | 24843

7 | 8281

7 | 1183

13| 169

| 13

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★ Resolving 298116 into prime factors, we get

298116 = 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13

★ Now, grouping the factors into pairs of equal factors, we get

298116 = (2 × 2) × (3 × 3) × (7 × 7) × (13 × 13)

★ Taking one factors from each pair, we obtain

√298116 = 2 × 3 × 7 × 13 = 546

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