Factors of 28 Explained | Prime Factorization, Perfect Number

What are the factors of 28?

The factors of 28 are the numbers that divide 28 completely without leaving any remainder. The factors of 28 are 1, 2, 4, 7, 14, and 28. These numbers can multiply in pairs to form 28.

Prime factorization of 28

Prime factorization means expressing a number as a product of prime numbers. The prime factorization of 28 is 2 × 2 × 7 or 2² × 7. This shows that 28 is made using the prime numbers 2 and 7.

Factor pairs of 28

Factor pairs are two numbers that multiply together to give 28. The factor pairs of 28 are 1 × 28 = 28, 2 × 14 = 28, and 4 × 7 = 28. So the pairs are (1, 28), (2, 14), and (4, 7).

Is 28 a prime or composite number?

28 is a composite number because it has more than two factors. A prime number has only two factors, 1 and itself, but 28 has six factors which are 1, 2, 4, 7, 14, and 28.

Is 28 a perfect number?

Yes, 28 is a perfect number because the sum of its proper divisors equals the number itself. The proper divisors of 28 are 1, 2, 4, 7, and 14. When we add them 1 + 2 + 4 + 7 + 14, the result is 28.

Is 28 a triangular number?

Yes, 28 is a triangular number because it can be formed by adding natural numbers from 1 to 7. 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28.

How to find factors of 28?

To find factors of 28, divide it by numbers starting from 1 up to its square root. Any number that divides 28 exactly without remainder is a factor.

Is 28 a perfect square?

No, 28 is not a perfect square because its square root is approximately 5.29, which is not a whole number.

Summary

The number 28 has six factors which are 1, 2, 4, 7, 14, and 28. Its prime factorization is 2² × 7. It is a composite number, a perfect number, and also a triangular number.

FAQs

What factors give 28?

The factors that give 28 are 1, 2, 4, 7, 14, and 28.

What is the factor tree of 28?

The factor tree of 28 is 28 = 2 × 14 and 14 = 2 × 7, so prime factors are 2 × 2 × 7.

What are the factors of minus 28?

The factors of -28 include ±1, ±2, ±4, ±7, ±14, and ±28.

How to do factors of 28?

To find factors of 28, check numbers from 1 to 5 and see which divide 28 completely without remainder.

How to find a factor tree?

Start dividing the number into two factors and continue breaking them until only prime numbers remain.

What is the lowest common factor of 28?

The lowest common factor of any number is always 1, so the lowest common factor of 28 is 1.

What is the LCM for 28?

LCM depends on another number. For example, LCM of 28 and 7 is 28.

Is 28 a perfect number?

Yes, 28 is a perfect number because the sum of its proper divisors equals 28.