Is 1007 a prime number?

1 007 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 1 007 is about 31.733.

Thus, the square root of 1 007 is not an integer, and therefore 1 007 is not a square number.

The square of a number (here 1 007) is the result of the product of this number (1 007) by itself (i.e., 1 007 × 1 007); the square of 1 007 is sometimes called "raising 1 007 to the power 2", or "1 007 squared".

The square of 1 007 is 1 014 049 because 1 007 × 1 007 = 1 007² = 1 014 049.

As a consequence, 1 007 is the square root of 1 014 049.

1 007 is a number with 4 digits.

The multiples of 1 007 are all integers evenly divisible by 1 007, that is all numbers such that the remainder of the division by 1 007 is zero. There are infinitely many multiples of 1 007. The smallest multiples of 1 007 are:

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

• Preceding numbers: …1 005, 1 006
• Following numbers: 1 008, 1 009…

Nearest numbers from 1 007

• Preceding prime number: 997
• Following prime number: 1 009

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• 1 007 est-il un nombre premier ?