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How many factors of 28 × 32 × 53 × 75 are even numbers?1. 5762. 2883. 1684. 464 |
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Answer» Correct Answer - Option 1 : 576 Concept used: A given natural number can be expressed as 2a.3b.5c.7d...... and so on Where a, b, c, d ...... and so on are whole numbers Total number of factors = (a + 1) × (b + 1) × (c + 1) × (d + 1) ...... and so on Total number of even factors = a × (b + 1) × (c + 1) × (d + 1) ...... and so on Calculation: Total number of even factors = 8 × (2 + 1) × (3 + 1) × (5 + 1) ∴ Total numbers of even factors is 576 |
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