Is 741 a prime number?

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

For 741, the answer is: No, 741 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 741) is as follows: 1, 3, 13, 19, 39, 57, 247, 741.

For 741 to be a prime number, it would have been required that 741 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

741 is a multiple of 1
741 is a multiple of 3
741 is a multiple of 13
741 is a multiple of 19
741 is a multiple of 39
741 is a multiple of 57
741 is a multiple of 247

For 741 to be a prime number, it would have been required that 741 has only two divisors, i.e., itself and 1.

Is 741 a deficient number?

Yes, 741 is a deficient number, that is to say 741 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 741 without 741 itself (that is 1 + 3 + 13 + 19 + 39 + 57 + 247 = 379).

Parity of 741

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

Find out more:

What is an even number?

Is 741 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 741 is about 27.221.

Thus, the square root of 741 is not an integer, and therefore 741 is not a square number.

What is the square number of 741?

The square of a number (here 741) is the result of the product of this number (741) by itself (i.e., 741 × 741); the square of 741 is sometimes called "raising 741 to the power 2", or "741 squared".

The square of 741 is 549 081 because 741 × 741 = 741² = 549 081.

As a consequence, 741 is the square root of 549 081.

Number of digits of 741

741 is a number with 3 digits.

What are the multiples of 741?

The multiples of 741 are all integers evenly divisible by 741, that is all numbers such that the remainder of the division by 741 is zero. There are infinitely many multiples of 741. The smallest multiples of 741 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 741 too, since 0 × 741 = 0
741: indeed, 741 is a multiple of itself, since 741 is evenly divisible by 741 (we have 741 / 741 = 1, so the remainder of this division is indeed zero)
1 482: indeed, 1 482 = 741 × 2
2 223: indeed, 2 223 = 741 × 3
2 964: indeed, 2 964 = 741 × 4
3 705: indeed, 3 705 = 741 × 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 741). 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 27.221). 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 741

Preceding numbers: …739, 740
Following numbers: 742, 743…

Nearest numbers from 741

Preceding prime number: 739
Following prime number: 743