Is 335 a prime number?

It is possible to find out using mathematical methods whether a given integer is a prime number or not.

For 335, the answer is: No, 335 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 335) is as follows: 1, 5, 67, 335.

For 335 to be a prime number, it would have been required that 335 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 335 cannot be prime, because 5 is one of its divisors: indeed, a number ending with 0 or 5 has necessarily 5 among its divisors. The last digit of 335 is 5, so it is divisible by 5 and is therefore not prime.

As a consequence:

335 is a multiple of 1
335 is a multiple of 5
335 is a multiple of 67

For 335 to be a prime number, it would have been required that 335 has only two divisors, i.e., itself and 1.

However, 335 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 335 = 5 x 67, where 5 and 67 are both prime numbers.

Is 335 a deficient number?

Yes, 335 is a deficient number, that is to say 335 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 335 without 335 itself (that is 1 + 5 + 67 = 73).

Parity of 335

335 is an odd number, because it is not evenly divisible by 2.

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What is an even number?

Is 335 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 335 is about 18.303.

Thus, the square root of 335 is not an integer, and therefore 335 is not a square number.

What is the square number of 335?

The square of a number (here 335) is the result of the product of this number (335) by itself (i.e., 335 × 335); the square of 335 is sometimes called "raising 335 to the power 2", or "335 squared".

The square of 335 is 112 225 because 335 × 335 = 335² = 112 225.

As a consequence, 335 is the square root of 112 225.

Number of digits of 335

335 is a number with 3 digits.

What are the multiples of 335?

The multiples of 335 are all integers evenly divisible by 335, that is all numbers such that the remainder of the division by 335 is zero. There are infinitely many multiples of 335. The smallest multiples of 335 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 335 too, since 0 × 335 = 0
335: indeed, 335 is a multiple of itself, since 335 is evenly divisible by 335 (we have 335 / 335 = 1, so the remainder of this division is indeed zero)
670: indeed, 670 = 335 × 2
1 005: indeed, 1 005 = 335 × 3
1 340: indeed, 1 340 = 335 × 4
1 675: indeed, 1 675 = 335 × 5
etc.

How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 335). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 18.303). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

Numbers near 335

Preceding numbers: …333, 334
Following numbers: 336, 337…

Nearest numbers from 335

Preceding prime number: 331
Following prime number: 337