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Q: What is a prime number less than 10000 and the product of its digits is zero?

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You had me until "product." The product of 4 digits can't be prime.

The four numbers are: 113, 131, 151 and 191. For the product of the digits to be prime, the number must contain 2 ones - which greatly simplifies the exercise.

There are two numbers that satisfy the criteria. 38 and 83

The number is 83.

-10

532

A prime number with identical digits is 11.

61 is prime. You cannot make 61 by multiplying four digits.

The number 11 is prime and has two identical digits.

If you multiply two prime numbers, the product (result) will be a composite number, not a prime number. A prime number has exactly two factors, 1 and itself. The product of two prime numbers will have those two numbers as factors, as well. The sum of two prime numbers might be prime if one of those two numbers is 2, the only even prime number, but otherwise it will not be a prime because two odd numbers will have an even sum, which means it is divisible by 2. Examples: 2 + 3 = 5 (prime) 3 + 7 = 10 (not prime) 13 + 17 = 30 (not prime) If you multiply two prime numbers, the sum of the digits of the product might or might not be prime. Examples: 2 x 7 = 14, sum of digits is 5 (prime) 2 x 11 = 22, sum of digits is 4 (not prime) 3 x 5 = 15, sum of digits is 6 (not prime) 3 x 7 = 21, sum of digits is 3 (prime) 5 x 7 = 35, sum of digits is 8 (prime)

The answer to your question is.... 37! Qualifications: -2 - digit number -less than 47 -product of digits is 21 The number 37 meets all of these requirements. 🌟

No, reversing the order of the digits of a two-digit prime number does not always result in a prime number.

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