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How to find factor of 224?

Answer»

224 is a composite number.

Prime factorization: 224 = 2 X 2 x 2 x 2 x 2 x 7, which can be written 224 = 2⁵ x 7

The exponents in the prime factorization are 5 and 1. ADDING one to each and multiplying we get (5 + 1)(1 + 1) = 6 x 2 = 12. Therefore 224 has 12 factors.

Factors of 224: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Factor pairs: 224 = 1 x 224, 2 x 112, 4 x 56, 7 x 32, 8 x 28, or 14 x 16

Taking the factor pair with the largest square number factor, we get √224 = (√16)( √14) = 4√14 ≈ 14.967

HOPE this helps you



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