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What is the prime factorization of 46?
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To calculate the prime factors of 46 enter a number in the field below and press decompose:
Answer to the Factorization of 46
The factorization of 46 is equal to 2 × 23. We find these factors by successively dividing 46 by the prime numbers until we obtain the prime factors.
Factor Tree of 46
The prime factor tree of 46 is an illustration that shows how the number 46 is decomposed into its fundamental prime factors, as 2, 3 and 5. This visual representation helps you understand the underlying structure of the number and how it is formed from smaller prime numbers.
Look at the following tree:
| 46 | |||||||||||||||||||||
| 2 | 23 | ||||||||||||||||||||
Steps to Factor the Number 46
1. Division by Smaller Prime Numbers:
Start by dividing the number 46 by the smallest prime numbers, starting with the smallest prime, which is 2.
46 ÷ 2 = 23
2. Obtaining Prime Factors:
Agora, continue dividindo o resultado da etapa anterior por números primos menores, até que não seja mais possível fazer divisões inteiras.
23 é um número primo.
3. Factorization Expression:
As the number 23 is a prime number, its only factorization is itself:
46 = 2 × 23
Lamento pela confusão anterior e agradeço por apontar o erro. O número 46 pode ser fatorado em 2 and 23, que são seus fatores primos.
