Factors of 1029 are the list of integers that we can split evenly into 1029. There are overall 8 factors of 1029 i.e. 1, 3, 7, 21, 49, 147, 343, 1029 where 1029 is the biggest factor. The Prime Factors and Pair Factors of 1029 are 3 × 7 and (1, 1029), (3, 343), (7, 147), (21, 49) respectively.

• All Factors of 1029: 1, 3, 7, 21, 49, 147, 343 and 1029
• Negative Factors of 1029: -1, -3, -7, -21, -49, -147, -343 and -1029
• Prime Factors of 1029: 3, 7
• Prime Factorization of 1029: 3¹ × 7³
• Sum of Factors of 1029: 1600

1.	What Are the Factors of 1029?
2.	Factors of 1029 by Prime Factorization
3.	Factors of 1029 in Pairs
4.	FAQs on Factors of 1029

Factors of 1029 are pairs of those numbers whose products result in 1029. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1029?

To find the factors of 1029, we will have to find the list of numbers that would divide 1029 without leaving any remainder.

• 1029/147 = 7; therefore, 147 is a factor of 1029 and 7 is also a factor of 1029.
• 1029/49 = 21; therefore, 49 is a factor of 1029 and 21 is also a factor of 1029.

Similarly we can find other factors. Hence, the factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.

☛ Also Check:

• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 11 - The factors of 11 are 1, 11
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The number 1029 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1029. The first step is to divide the number 1029 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 1029 ÷ 3 = 343

Further dividing 343 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 343 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 1029 can be written as 3¹ × 7³ where 3, 7 are prime.

Pair factors of 1029 are the pairs of numbers that when multiplied give the product 1029. The factors of 1029 in pairs are:

• 1 × 1029 = (1, 1029)
• 3 × 343 = (3, 343)
• 7 × 147 = (7, 147)
• 21 × 49 = (21, 49)

Negative pair factors of 1029 are:

• -1 × -1029 = (-1, -1029)
• -3 × -343 = (-3, -343)
• -7 × -147 = (-7, -147)
• -21 × -49 = (-21, -49)

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