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Prime Numbers

A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.

30,833 Questions

What are the factors and prime factors of 574?

The positive integer factors of 574 are:

1, 2, 7, 14, 41, 82, 287, 574

The prime factors of 574 are:

2 x 7 x 41

What are the factors of 75 and 112?

The factors of 75 are:

1, 3, 5, 15, 25, 75

The factors of 112 are:

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Does starting with different numbers make any difference in the prime factorization?

Multiplication is a commutative operation. That means that A x B = B x A.

For example we can use 210.

210/2 = 105 210/7 = 30

105/3 = 35 30/5 = 6

35/5 = 7 6/3 =2

7/7 = 1 2/2=1

210 = 2 x 3 x 5 X 7 = 7 x 5 x 3 x 2

So from a purely mathematical stand point no it doesn't. However when I am trying to factor a number the first thing I generally check is, if it is divisible by 2 or 5 since I only have to check to see if the last digit is either even, or if the last digit is 5 or 0.

Is 1929 a prime number?

no no no because you can only times it 1 time!

All the prime numbers to 120 is?

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.