Is 746 a prime number?

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

For 746, the answer is: No, 746 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 746) is as follows: 1, 2, 373, 746.

For 746 to be a prime number, it would have been required that 746 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

As a consequence:

746 is a multiple of 1
746 is a multiple of 2
746 is a multiple of 373

For 746 to be a prime number, it would have been required that 746 has only two divisors, i.e., itself and 1.

However, 746 is a semiprime (also called biprime or 2-almost-prime), because it is the product of a two non-necessarily distinct prime numbers. Indeed, 746 = 2 x 373, where 2 and 373 are both prime numbers.

Is 746 a deficient number?

Yes, 746 is a deficient number, that is to say 746 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 746 without 746 itself (that is 1 + 2 + 373 = 376).

Parity of 746

746 is an even number, because it is evenly divisible by 2: 746 / 2 = 373.

Find out more:

What is an even number?

Is 746 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 746 is about 27.313.

Thus, the square root of 746 is not an integer, and therefore 746 is not a square number.

What is the square number of 746?

The square of a number (here 746) is the result of the product of this number (746) by itself (i.e., 746 × 746); the square of 746 is sometimes called "raising 746 to the power 2", or "746 squared".

The square of 746 is 556 516 because 746 × 746 = 746² = 556 516.

As a consequence, 746 is the square root of 556 516.

Number of digits of 746

746 is a number with 3 digits.

What are the multiples of 746?

The multiples of 746 are all integers evenly divisible by 746, that is all numbers such that the remainder of the division by 746 is zero. There are infinitely many multiples of 746. The smallest multiples of 746 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 746 too, since 0 × 746 = 0
746: indeed, 746 is a multiple of itself, since 746 is evenly divisible by 746 (we have 746 / 746 = 1, so the remainder of this division is indeed zero)
1 492: indeed, 1 492 = 746 × 2
2 238: indeed, 2 238 = 746 × 3
2 984: indeed, 2 984 = 746 × 4
3 730: indeed, 3 730 = 746 × 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 746). 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 27.313). 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 746

Preceding numbers: …744, 745
Following numbers: 747, 748…

Nearest numbers from 746

Preceding prime number: 743
Following prime number: 751