Is 313009 a prime number?

313 009 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even 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 313 009 is about 559.472.

Thus, the square root of 313 009 is not an integer, and therefore 313 009 is not a square number.

Anyway, 313 009 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 313 009) is the result of the product of this number (313 009) by itself (i.e., 313 009 × 313 009); the square of 313 009 is sometimes called "raising 313 009 to the power 2", or "313 009 squared".

The square of 313 009 is 97 974 634 081 because 313 009 × 313 009 = 313 009² = 97 974 634 081.

As a consequence, 313 009 is the square root of 97 974 634 081.

313 009 is a number with 6 digits.

The multiples of 313 009 are all integers evenly divisible by 313 009, that is all numbers such that the remainder of the division by 313 009 is zero. There are infinitely many multiples of 313 009. The smallest multiples of 313 009 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 313 009 too, since 0 × 313 009 = 0
• 313 009: indeed, 313 009 is a multiple of itself, since 313 009 is evenly divisible by 313 009 (we have 313 009 / 313 009 = 1, so the remainder of this division is indeed zero)
• 626 018: indeed, 626 018 = 313 009 × 2
• 939 027: indeed, 939 027 = 313 009 × 3
• 1 252 036: indeed, 1 252 036 = 313 009 × 4
• 1 565 045: indeed, 1 565 045 = 313 009 × 5
• etc.

• Preceding numbers: …313 007, 313 008
• Following numbers: 313 010, 313 011…

Nearest numbers from 313 009

• Preceding prime number: 313 003
• Following prime number: 313 031