Question

write the prime factorization of 286. order the factors from least to greatest (for example, 2 × 2 × 3 × 5).

Explanation:

Step1: Check divisibility by smallest prime (2)

286 is even, so divide by 2: $286 \div 2 = 143$

Step2: Check divisibility of 143 by next primes

Check primes: 3? 1+4+3=8, not divisible by 3. 5? Ends with 3, no. 7? 7×20=140, 143-140=3, not divisible. 11? 11×13=143. So 143=11×13.

Step3: Combine prime factors

Prime factors of 286 are 2, 11, 13. Order from least to greatest.

Answer:

$2 \times 11 \times 13$