Factors of 1729 are numbers that, when multiplied in pairs give the product as 1729. There are total 8 factors of 1729 i.e. 1, 7, 13, 19, 91, 133, 247, 1729. The Prime Factors and Pair Factors of 1729 are 7 × 13 × 19 and (1, 1729), (7, 247), (13, 133), (19, 91) respectively.

• All Factors of 1729: 1, 7, 13, 19, 91, 133, 247 and 1729
• Negative Factors of 1729: -1, -7, -13, -19, -91, -133, -247 and -1729
• Prime Factors of 1729: 7, 13, 19
• Prime Factorization of 1729: 7¹ × 13¹ × 19¹
• Sum of Factors of 1729: 2240

1.	What Are the Factors of 1729?
2.	Factors of 1729 by Prime Factorization
3.	Factors of 1729 in Pairs
4.	FAQs on Factors of 1729

Factors of 1729 are pairs of those numbers whose products result in 1729. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1729?

To find the factors of 1729, we will have to find the list of numbers that would divide 1729 without leaving any remainder.

• 1729/13 = 133; therefore, 13 is a factor of 1729 and 133 is also a factor of 1729.
• 1729/247 = 7; therefore, 247 is a factor of 1729 and 7 is also a factor of 1729.

Similarly we can find other factors. Hence, the factors of 1729 are 1, 7, 13, 19, 91, 133, 247, 1729.

☛ Also Check:

• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The number 1729 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1729. The first step is to divide the number 1729 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 1729 ÷ 7 = 247

Further dividing 247 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 247 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 1729 can be written as 7¹ × 13¹ × 19¹ where 7, 13, 19 are prime.

Pair factors of 1729 are the pairs of numbers that when multiplied give the product 1729. The factors of 1729 in pairs are:

• 1 × 1729 = (1, 1729)
• 7 × 247 = (7, 247)
• 13 × 133 = (13, 133)
• 19 × 91 = (19, 91)

Negative pair factors of 1729 are:

• -1 × -1729 = (-1, -1729)
• -7 × -247 = (-7, -247)
• -13 × -133 = (-13, -133)
• -19 × -91 = (-19, -91)

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