Is 73 a Prime Number?
IS 73 A PRIME NUMBER?
Yes, 73 is a prime number. What is a prime number? Whole numbers are classified as prime or composite. When a number cannot be written as a product of more than two factors which are the number itself and 1, then it is a prime number. If it has more than 2 factors then it is a non-prime (composite) number.
For example: 11 has only two factors which are 1 and 11. It is a prime number.
29 is a prime number because it also has two factors which are 1 and 29.
55 having more than two factors is a composite (non-prime) number. The factors of 55 are 1, 5, 11, 55.
WHAT ARE THE FACTORS OF 73?
Since 73 cannot be written as a product of any two numbers other than 1 and 73.
73 = 1 x 73
Thus, making it a prime number?
73 IS A PRIME NUMBER – EXPLANATION
For a number to be a prime number, it must not be a multiple of any prime numbers below 10. The prime numbers which are less than 10 are 2, 3, 5 and 7.
Since 73 does not have 0, 2, 4, 6 or 8 at its end so it is not a multiple of 2. The sum of the digits 7 + 3 = 10 which is not a multiple of 3 so it is not divisible by 3. The number doesn’t end in 0 or 5 so it is not a multiple of 5 and 73 is not divisible by 7 either.
The square root of 73 is 8.544. Therefore, it is not a perfect square either.
It has only two factors which are 1 and 73.
Thus 73 can be represented as a product of 1 and 73.
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Frequently Asked Questions
1. Is 73 a composite number?
Ans: No. 73 is a prime number. It has only two factors which are 1 and 73.
2. Is 73 an even number?
Ans: No. An even number is divisible by 2 and has 0, 2, 4, 6 or 8 at the end of the number.
3. Is 73 a perfect square?
Ans: No. The square root of 73 is 8.54. It is not a perfect square.