Is 907 a prime number?

The number 907 has only 2 factors: 1 and 907. Therefore, the number 907 is a prime number.

A number is considered prime if it has only two factors: 1 and itself. Since 907 has no other divisors, it is classified as a prime number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below.

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization

For the counting divisors method, it is checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 907 would simply be:

Divisors of 907 = 1, 907
Number of divisors = 2

Since the number 907 only has 2 divisors, it is considered prime.

In the divisibility test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, prime numbers only have 2 divisors, which are 1 and itself.

The divisors of 907 are 1 and 907.

Thus, 907 consists of only 2 factors that divide it completely without any remainder, confirming it as a prime number.

The prime number chart is a list of prime numbers starting from 2 to infinity.

The list of prime numbers under 1000 are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907.

907 is present in this list, confirming it as a prime number.

Prime Number: A natural number greater than 1 that has exactly two distinct positive divisors: 1 and itself. For example, 907 is a prime number because it can only be divided by 1 and 907.

Divisibility Test: A method of determining whether one number can be divided by another without leaving a remainder. In the case of 907, the divisibility test confirms that it is only divisible by 1 and 907, proving it is prime.

Divisors: The numbers that can evenly divide another number. For 907, the divisors are 1 and 907, which are the only factors of the number.

Composite Number: A number that has more than two divisors. 907 is not a composite number because it has only two divisors: 1 and 907.

Prime Factorization: The process of breaking down a number into a product of prime numbers. Since 907 is a prime number, its prime factorization is just 907 itself, as it cannot be broken down further.