Write 70 as a product of prime factors.

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UpStudy AI · Accepted Answer

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:
$$
70 = 2 \times 5 \times 7
$$
70 can be written as $$ 2 \times 5 \times 7 $$.

Write 70 as a product of prime factors.

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