Expression "1771" as a product of prime factors

Explanation

We start with the smallest prime numbers and check if they divide 1771 evenly.

1. Divisibility by 2: Since 1771 is odd, it is not divisible by 2.
2. Divisibility by 3: The sum of the digits (1 + 7 + 7 + 1 = 16) is not divisible by 3, so 1771 is not divisible by 3.
3. Divisibility by 5: The last digit is not 0 or 5, so it is not divisible by 5.
4. Divisibility by 7: 1771÷7=2531771÷7=253 (exact division)

Now we factor 253253:

Check for divisibility by small primes:

• Not divisible by 2, 3, or 5.
• 253÷11=23(exact division).

From the above steps, we find:

• 1771=7×253
• 253=11×23

Thus, we can express:

1771=7×11×23

Final Answer

The expression of 1771 as a product of prime factors is: b. 11×7×23