Factors of 505 are integers that can be divided evenly into 505. There are 4 factors of 505 of which 505 itself is the biggest factor and its positive factors are 1, 5, 101, 505. The Pair Factors of 505 are (1, 505), (5, 101) and its Prime Factors are 5 × 101.

• All Factors of 505: 1, 5, 101 and 505
• Negative Factors of 505: -1, -5, -101 and -505
• Prime Factors of 505: 5, 101
• Prime Factorization of 505: 5¹ × 101¹
• Sum of Factors of 505: 612

1.	What Are the Factors of 505?
2.	Factors of 505 by Prime Factorization
3.	Factors of 505 in Pairs
4.	FAQs on Factors of 505

Factors of 505 are pairs of those numbers whose products result in 505. These factors are either prime numbers or composite numbers.

How to Find the Factors of 505?

To find the factors of 505, we will have to find the list of numbers that would divide 505 without leaving any remainder.

• 505/5 = 101; therefore, 5 is a factor of 505 and 101 is also a factor of 505.
• 505/505 = 1; therefore, 505 is a factor of 505 and 1 is also a factor of 505.

Similarly we can find other factors. Hence, the factors of 505 are 1, 5, 101, 505.

☛ Also Check:

• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 4 - The factors of 4 are 1, 2, 4
• Factors of 91 - The factors of 91 are 1, 7, 13, 91

The number 505 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 505. The first step is to divide the number 505 with the smallest prime factor, here it is 5. We keep dividing until it gives a non-zero remainder.

• 505 ÷ 5 = 101

Further dividing 101 by 5 gives a non-zero remainder. So we stop the process and continue dividing the number 101 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 505 can be written as 5¹ × 101¹ where 5, 101 are prime.

Pair factors of 505 are the pairs of numbers that when multiplied give the product 505. The factors of 505 in pairs are:

• 1 × 505 = (1, 505)
• 5 × 101 = (5, 101)

Negative pair factors of 505 are:

• -1 × -505 = (-1, -505)
• -5 × -101 = (-5, -101)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.