Factors of 1052 are integers that can be divided evenly into 1052. There are overall 6 factors of 1052 among which 1052 is the biggest factor and its positive factors are 1, 2, 4, 263, 526, 1052. The sum of all factors of 1052 is 1848. Its Prime Factors are 2 × 263 and (1, 1052), (2, 526), (4, 263) are Pair Factors.

• All Factors of 1052: 1, 2, 4, 263, 526 and 1052
• Negative Factors of 1052: -1, -2, -4, -263, -526 and -1052
• Prime Factors of 1052: 2, 263
• Prime Factorization of 1052: 2² × 263¹
• Sum of Factors of 1052: 1848

1.	What Are the Factors of 1052?
2.	Factors of 1052 by Prime Factorization
3.	Factors of 1052 in Pairs
4.	FAQs on Factors of 1052

Factors of 1052 are pairs of those numbers whose products result in 1052. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1052?

To find the factors of 1052, we will have to find the list of numbers that would divide 1052 without leaving any remainder.

• 1052/4 = 263; therefore, 4 is a factor of 1052 and 263 is also a factor of 1052.
• 1052/2 = 526; therefore, 2 is a factor of 1052 and 526 is also a factor of 1052.

Similarly we can find other factors. Hence, the factors of 1052 are 1, 2, 4, 263, 526, 1052.

☛ Also Check:

• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 22 - The factors of 22 are 1, 2, 11, 22

The number 1052 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1052. The first step is to divide the number 1052 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1052 ÷ 2 = 526
• 526 ÷ 2 = 263

Further dividing 263 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 263 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 1052 can be written as 2² × 263¹ where 2, 263 are prime.

Pair factors of 1052 are the pairs of numbers that when multiplied give the product 1052. The factors of 1052 in pairs are:

• 1 × 1052 = (1, 1052)
• 2 × 526 = (2, 526)
• 4 × 263 = (4, 263)

Negative pair factors of 1052 are:

• -1 × -1052 = (-1, -1052)
• -2 × -526 = (-2, -526)
• -4 × -263 = (-4, -263)

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