Is 100609 a prime number?

100 609 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 100 609 is about 317.189.

Thus, the square root of 100 609 is not an integer, and therefore 100 609 is not a square number.

Anyway, 100 609 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 100 609) is the result of the product of this number (100 609) by itself (i.e., 100 609 × 100 609); the square of 100 609 is sometimes called "raising 100 609 to the power 2", or "100 609 squared".

The square of 100 609 is 10 122 170 881 because 100 609 × 100 609 = 100 609² = 10 122 170 881.

As a consequence, 100 609 is the square root of 10 122 170 881.

100 609 is a number with 6 digits.

The multiples of 100 609 are all integers evenly divisible by 100 609, that is all numbers such that the remainder of the division by 100 609 is zero. There are infinitely many multiples of 100 609. The smallest multiples of 100 609 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 100 609 too, since 0 × 100 609 = 0
• 100 609: indeed, 100 609 is a multiple of itself, since 100 609 is evenly divisible by 100 609 (we have 100 609 / 100 609 = 1, so the remainder of this division is indeed zero)
• 201 218: indeed, 201 218 = 100 609 × 2
• 301 827: indeed, 301 827 = 100 609 × 3
• 402 436: indeed, 402 436 = 100 609 × 4
• 503 045: indeed, 503 045 = 100 609 × 5
• etc.

• Preceding numbers: …100 607, 100 608
• Following numbers: 100 610, 100 611…

Nearest numbers from 100 609

• Preceding prime number: 100 591
• Following prime number: 100 613

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• 100 609 est-il un nombre premier ?