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# What is the prime factorization of 406?

Updated: 11/2/2022

Wiki User

15y ago

2, 7, and 29. 2 x 7 x 29 = 406

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15y ago

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Q: What is the prime factorization of 406?
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### What is the prime factorization tree for 406?

406 203,2 29,7,2 2 x 7 x 29 = 406

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The prime factorization of 406 is 2 x 7 x 29

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The factors of 406 are 1, 2, 7, 14, 29, 58, 203, and 406. The prime factorization of 406 is 2 x 7 x 29.

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406=2x203203=7x29PF=2x7x29The PF (Prime Factorization) of 406 is 2x7x29.*NOTE: When solving prime factorization, please use a factor tree. They're useful because when you start with a number, you find two factors that together multiplied equal the top number. If one of those factors are composite, find two factors for that number, and keep going until you come to a conclusion where the last number is prime. Therefore, the first factor for each composite factor of the top number, multiplied together, equal the number you started with.

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