Write 30 as a product of prime factors.

Ask by Ortiz Cook. in the United States

Mar 23,2025

Question

Write 30 as a product of prime factors. $$ 30=5 	imes \square $$ $$ \qquad 3 	imes \square) $$

UpStudy AI · Accepted Answer

We start by dividing $$30$$ by the identified prime numbers.

1. Since $$30 \div 5 = 6$$, we can write  
   $$
   30 = 5 \times 6.
   $$
2. Next, factorize $$6$$ into prime factors:  
   $$
   6 = 2 \times 3.
   $$
   Therefore,  
   $$
   30 = 5 \times (2 \times 3).
   $$

Similarly, if we start with the prime factor $$3$$:

1. Since $$30 \div 3 = 10$$, we have  
   $$
   30 = 3 \times 10.
   $$
2. Factorize $$10$$ into primes:  
   $$
   10 = 2 \times 5.
   $$
   So,  
   $$
   30 = 3 \times (2 \times 5).
   $$

Thus, the complete prime factorization of $$30$$ is  
$$
30 = 2 \times 3 \times 5.
$$

Filling in the blanks:
- $$30=5 \times 6$$ with $$6 = 2 \times 3$$.
- $$30=3 \times 10$$ with $$10 = 2 \times 5$$.
$$30 = 2 \times 3 \times 5$$.

Write 30 as a product of prime factors.

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions