Pregunta
fewrite 92 and 146 as products of their prime factors
Ask by Adkins Garrett. in South Africa
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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92 can be written as \(2 \times 2 \times 23\) and 146 as \(2 \times 73\).
Solución
1. **Factorize 92**
- Divide 92 by 2:
\[
92 \div 2 = 46
\]
- Divide 46 by 2:
\[
46 \div 2 = 23
\]
- Since 23 is a prime number, the factorization stops here.
\[
92 = 2 \times 2 \times 23 = 2^2 \times 23
\]
2. **Factorize 146**
- Divide 146 by 2:
\[
146 \div 2 = 73
\]
- Since 73 is a prime number, the factorization stops here.
\[
146 = 2 \times 73
\]
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Simplifique esta solución Beyond the Answer
To break down 92 into its prime factors, we start by dividing it by the smallest prime number, which is 2. So, 92 ÷ 2 = 46. We can then divide 46 again by 2 to get 23. Since 23 is a prime number, we stop there. Therefore, the prime factorization of 92 is 2 × 2 × 23, or \(2^2 \times 23\). For 146, we again start with the smallest prime, which is 2. Dividing 146 by 2 gives us 73. Since 73 is also a prime number, we stop here, leading to a prime factorization of 146 as 2 × 73. In summary: 92 = \(2^2 \times 23\) 146 = \(2 \times 73\)
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