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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Is 123 a Prime Number?

Is 123 a prime number? How do you know that 123 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 123? Is 123 a prime number? "No, 123 is not a prime number." Since 123 has more than 2 factors i.e. 1, 3, 41, 123, it is a composite number. Let's study this in detail.

  • Is 123 a prime number? - No
  • Is 123 a composite number? - Yes
  • Is 123 a perfect square? - No
  • Factors of 123 - 1, 3, 41, 123
  • Prime Factors of 123 - 3, 41

Is 123 a Prime or Composite?

Is 123 a Prime Number?

No, 123 is not a prime number. The number 123 is divisible by 1, 3, 41, 123. For a number to be classified as a prime number, it should have exactly two factors. Since 123 has more than two factors, i.e. 1, 3, 41, 123, it is not a prime number.

Is 123 a Prime Number?

Why is 123 not a Prime Number?

To understand whether 123 is prime or composite, it is important to find its factors.

Factors of 123: 1, 3, 41, 123

Since 123 has more than 2 factors, we can say that 123 is not a prime number.

☛ Prime Number Calculator

Is 123 a Composite Number?

Yes, since 123 has more than two factors i.e. 1, 3, 41, 123. In other words, 123 is a composite number because 123 has more than 2 factors.

Problem Statements:

Is 123 a Prime Number? No
Is 123 a Composite Number? Yes
Cube Root of 123 4.973182
Multiples of 123 123, 246, 369, 492, 615, 738, 861, 984, 1107, 1230
Square Root of 123 11.090537
Is 123 an Even Number? No
Is 123 a Perfect Square? No
Is 123 an Odd Number? Yes
Is 123 a Perfect Cube? No
Square of 123 15129

Fun Facts:

  • Euler discovered a polynomial n2 + n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39.
  • 23 is the smallest prime number having consecutive digits.
  • 2 is the smallest prime number.

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