Is 740 a prime number?

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

For 740, the answer is: No, 740 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 740) is as follows: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.

For 740 to be a prime number, it would have been required that 740 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 740 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 740 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

740 is a multiple of 1
740 is a multiple of 2
740 is a multiple of 4
740 is a multiple of 5
740 is a multiple of 10
740 is a multiple of 20
740 is a multiple of 37
740 is a multiple of 74
740 is a multiple of 148
740 is a multiple of 185
740 is a multiple of 370

For 740 to be a prime number, it would have been required that 740 has only two divisors, i.e., itself and 1.

Is 740 a deficient number?

No, 740 is not a deficient number: to be deficient, 740 should have been such that 740 is larger than the sum of its proper divisors, i.e., the divisors of 740 without 740 itself (that is 1 + 2 + 4 + 5 + 10 + 20 + 37 + 74 + 148 + 185 + 370 = 856).

In fact, 740 is an abundant number; 740 is strictly smaller than the sum of its proper divisors (that is 1 + 2 + 4 + 5 + 10 + 20 + 37 + 74 + 148 + 185 + 370 = 856). The smallest abundant number is 12.

Parity of 740

740 is an even number, because it is evenly divisible by 2: 740 / 2 = 370.

Find out more:

What is an even number?

Is 740 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 740 is about 27.203.

Thus, the square root of 740 is not an integer, and therefore 740 is not a square number.

What is the square number of 740?

The square of a number (here 740) is the result of the product of this number (740) by itself (i.e., 740 × 740); the square of 740 is sometimes called "raising 740 to the power 2", or "740 squared".

The square of 740 is 547 600 because 740 × 740 = 740² = 547 600.

As a consequence, 740 is the square root of 547 600.

Number of digits of 740

740 is a number with 3 digits.

What are the multiples of 740?

The multiples of 740 are all integers evenly divisible by 740, that is all numbers such that the remainder of the division by 740 is zero. There are infinitely many multiples of 740. The smallest multiples of 740 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 740 too, since 0 × 740 = 0
740: indeed, 740 is a multiple of itself, since 740 is evenly divisible by 740 (we have 740 / 740 = 1, so the remainder of this division is indeed zero)
1 480: indeed, 1 480 = 740 × 2
2 220: indeed, 2 220 = 740 × 3
2 960: indeed, 2 960 = 740 × 4
3 700: indeed, 3 700 = 740 × 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 740). 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 27.203). 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 740

Preceding numbers: …738, 739
Following numbers: 741, 742…

Nearest numbers from 740

Preceding prime number: 739
Following prime number: 743