Factors of 529: A Comprehensive Guide

529 is a composite number with 4 factors: 1, 529, 23, and 11. It is the product of two prime numbers, 23 and 23, and is therefore a perfect square. 529 is also an odd number and a deficient number.

Prime Factorization of 529

The prime factorization of 529 is 23^2. This means that 529 can be written as the product of two 23s:

529 = 23 x 23

Factors of 529

The factors of 529 are the numbers that divide evenly into 529. The factors of 529 are:

1, 529, 23, 11

Sum of the Factors of 529

The sum of the factors of 529 is 563. This can be calculated by adding up all of the factors of 529:

1 + 529 + 23 + 11 = 563

Product of the Factors of 529

The product of the factors of 529 is 529. This can be calculated by multiplying all of the factors of 529:

1 x 529 x 23 x 11 = 529

Applications of 529

529 is a relatively small number, but it has a number of interesting applications. For example, 529 is used in:

• Mathematics: 529 is a perfect square, and it is also a deficient number.
• Science: 529 is the atomic number of einsteinium.
• Music: 529 Hz is a frequency that is said to have a calming effect on the human body.
• Art: 529 is the number of squares in a Rubik's Cube.

Conclusion

529 is a fascinating number with a number of interesting properties and applications. It is a perfect square, a deficient number, and the atomic number of einsteinium. 529 is also used in music and art.