Is 670 a prime number?

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

For 670, the answer is: No, 670 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 670) is as follows: 1, 2, 5, 10, 67, 134, 335, 670.

For 670 to be a prime number, it would have been required that 670 has only two divisors, i.e., itself and 1.

Find out more:

What is a prime number?

Actually, one can immediately see that 670 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 670 is 0, so it is divisible by 5 and is therefore not prime.

As a consequence:

670 is a multiple of 1
670 is a multiple of 2
670 is a multiple of 5
670 is a multiple of 10
670 is a multiple of 67
670 is a multiple of 134
670 is a multiple of 335

For 670 to be a prime number, it would have been required that 670 has only two divisors, i.e., itself and 1.

Is 670 a deficient number?

Yes, 670 is a deficient number, that is to say 670 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 670 without 670 itself (that is 1 + 2 + 5 + 10 + 67 + 134 + 335 = 554).

Parity of 670

670 is an even number, because it is evenly divisible by 2: 670 / 2 = 335.

Find out more:

What is an even number?

Is 670 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 670 is about 25.884.

Thus, the square root of 670 is not an integer, and therefore 670 is not a square number.

What is the square number of 670?

The square of a number (here 670) is the result of the product of this number (670) by itself (i.e., 670 × 670); the square of 670 is sometimes called "raising 670 to the power 2", or "670 squared".

The square of 670 is 448 900 because 670 × 670 = 670² = 448 900.

As a consequence, 670 is the square root of 448 900.

Number of digits of 670

670 is a number with 3 digits.

What are the multiples of 670?

The multiples of 670 are all integers evenly divisible by 670, that is all numbers such that the remainder of the division by 670 is zero. There are infinitely many multiples of 670. The smallest multiples of 670 are:

0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 670 too, since 0 × 670 = 0
670: indeed, 670 is a multiple of itself, since 670 is evenly divisible by 670 (we have 670 / 670 = 1, so the remainder of this division is indeed zero)
1 340: indeed, 1 340 = 670 × 2
2 010: indeed, 2 010 = 670 × 3
2 680: indeed, 2 680 = 670 × 4
3 350: indeed, 3 350 = 670 × 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 670). 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 25.884). 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 670

Preceding numbers: …668, 669
Following numbers: 671, 672…

Nearest numbers from 670

Preceding prime number: 661
Following prime number: 673