Is 153001 a prime number?

153 001 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 153 001 is about 391.153.

Thus, the square root of 153 001 is not an integer, and therefore 153 001 is not a square number.

Anyway, 153 001 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 153 001) is the result of the product of this number (153 001) by itself (i.e., 153 001 × 153 001); the square of 153 001 is sometimes called "raising 153 001 to the power 2", or "153 001 squared".

The square of 153 001 is 23 409 306 001 because 153 001 × 153 001 = 153 001² = 23 409 306 001.

As a consequence, 153 001 is the square root of 23 409 306 001.

153 001 is a number with 6 digits.

The multiples of 153 001 are all integers evenly divisible by 153 001, that is all numbers such that the remainder of the division by 153 001 is zero. There are infinitely many multiples of 153 001. The smallest multiples of 153 001 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 153 001 too, since 0 × 153 001 = 0
• 153 001: indeed, 153 001 is a multiple of itself, since 153 001 is evenly divisible by 153 001 (we have 153 001 / 153 001 = 1, so the remainder of this division is indeed zero)
• 306 002: indeed, 306 002 = 153 001 × 2
• 459 003: indeed, 459 003 = 153 001 × 3
• 612 004: indeed, 612 004 = 153 001 × 4
• 765 005: indeed, 765 005 = 153 001 × 5
• etc.

• Preceding numbers: …152 999, 153 000
• Following numbers: 153 002, 153 003…

Nearest numbers from 153 001

• Preceding prime number: 152 993
• Following prime number: 153 059

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• 153 001 est-il un nombre premier ?