# Is 743 a Prime Number?

Is 743 a prime number? How do you know that 743 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 743? Is 743 a prime number? * "Yes, 743 is a prime number."* Since 743 has only 2 factors i.e. 1 and 743, it is a prime number. Let's study this in detail.

**Is 743 a prime number? -**Yes**Is 743 a composite number? -**No**Is 743 a perfect square? -**No**Factors of 743 -**1, 743**Prime Factors of 743 -**743

## Is 743 a Prime Number?

Yes, 743 is a prime number. The number 743 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 743 has exactly two factors, i.e. 1 and 743, it is a prime number.

## How is 743 a Prime Number?

To understand whether 743 is prime or composite, it is important to find its factors.

**Factors of 743:** 1, 743

Therefore, we can say that 743 is a prime number since it has only 2 factors.

## Is 743 a Composite Number?

No, since 743 has only two factors, i.e. 1 and 743. In other words, 743 is not a composite number because 743 doesn’t have more than 2 factors.

**Problem Statements: **

Is 743 a Prime Number? | Yes |

Is 743 a Composite Number? | No |

Is 743 an Odd Number? | Yes |

Multiples of 743 | 743, 1486, 2229, 2972, 3715, 4458, 5201, 5944, 6687, 7430 |

Square Root of 743 | 27.258026 |

Is 743 a Perfect Square? | No |

Is 743 a Perfect Cube? | No |

Is 743 an Even Number? | No |

Cube Root of 743 | 9.057228 |

**Fun Facts: **

- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (41, 43) are twin prime numbers.
- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 89 is a prime number and it can be written as 89 = 6 × 15 - 1

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