Is 31007 a prime number?

31 007 is an odd number, because it is not evenly divisible by 2.

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• 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 31 007 is about 176.088.

Thus, the square root of 31 007 is not an integer, and therefore 31 007 is not a square number.

The square of a number (here 31 007) is the result of the product of this number (31 007) by itself (i.e., 31 007 × 31 007); the square of 31 007 is sometimes called "raising 31 007 to the power 2", or "31 007 squared".

The square of 31 007 is 961 434 049 because 31 007 × 31 007 = 31 007² = 961 434 049.

As a consequence, 31 007 is the square root of 961 434 049.

31 007 is a number with 5 digits.

The multiples of 31 007 are all integers evenly divisible by 31 007, that is all numbers such that the remainder of the division by 31 007 is zero. There are infinitely many multiples of 31 007. The smallest multiples of 31 007 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 31 007 too, since 0 × 31 007 = 0
• 31 007: indeed, 31 007 is a multiple of itself, since 31 007 is evenly divisible by 31 007 (we have 31 007 / 31 007 = 1, so the remainder of this division is indeed zero)
• 62 014: indeed, 62 014 = 31 007 × 2
• 93 021: indeed, 93 021 = 31 007 × 3
• 124 028: indeed, 124 028 = 31 007 × 4
• 155 035: indeed, 155 035 = 31 007 × 5
• etc.

• Preceding numbers: …31 005, 31 006
• Following numbers: 31 008, 31 009…

Nearest numbers from 31 007

• Preceding prime number: 30 983
• Following prime number: 31 013

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• 31 007 est-il un nombre premier ?