Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
70 can be written as \( 2 \times 5 \times 7 \).
Solution
To express 70 as a product of its prime factors, we can follow these steps:
1. Start with the number 70.
2. Divide 70 by the smallest prime number, which is 2. Since 70 is even, it is divisible by 2:
\[
70 \div 2 = 35
\]
So, we have \( 70 = 2 \times 35 \).
3. Next, we need to factor 35. The smallest prime number that divides 35 is 5:
\[
35 \div 5 = 7
\]
Thus, we can express 35 as \( 5 \times 7 \).
4. Now, we can combine all the factors:
\[
70 = 2 \times 5 \times 7
\]
5. Finally, we check if 7 is a prime number. Since 7 has no divisors other than 1 and itself, it is indeed a prime number.
Therefore, the prime factorization of 70 is:
\[
70 = 2 \times 5 \times 7
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To express 70 as a product of prime factors, we start by dividing it by the smallest prime number, which is 2. Since 70 is even, we have: 70 ÷ 2 = 35 Next, we take 35 and divide it by the smallest prime number that fits, which is 5: 35 ÷ 5 = 7 Now, 7 is a prime number itself. So we can stop here. Putting it all together, 70 can be expressed as: 70 = 2 × 5 × 7.
