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100 can be written as \( 2^2 \times 5^2 \).
Solución
To express 100 as a product of its prime factors, we can follow these steps:
1. Start with the number 100.
2. Divide it by the smallest prime number, which is 2.
3. Continue dividing the quotient by prime numbers until we reach 1.
Let's perform the factorization:
- \( 100 \div 2 = 50 \)
- \( 50 \div 2 = 25 \)
- \( 25 \div 5 = 5 \)
- \( 5 \div 5 = 1 \)
Now, we can write 100 as a product of its prime factors:
\[
100 = 2^2 \times 5^2
\]
Thus, the prime factorization of 100 is \( 2^2 \times 5^2 \).
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Simplifique esta solución Mind Expander
To express 100 as a product of prime factors, we can start dividing by the smallest prime numbers. First, 100 is an even number, so we can divide by 2: 100 ÷ 2 = 50. Next, we can divide 50 by 2 again: 50 ÷ 2 = 25. Now, we can't divide 25 by 2 anymore, but we can divide it by the next prime number, which is 5: 25 ÷ 5 = 5. Finally, we can divide 5 by itself to arrive at 1: 5 ÷ 5 = 1. Now, putting it all together, we have: 100 = 2 × 2 × 5 × 5, or in exponential form: 100 = 2² × 5². And that's how you get 100 as a product of prime factors!
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