Factors of 1007 are integers that can be divided evenly into 1007. There are overall 4 factors of 1007 among which 1007 is the biggest factor and 1, 19, 53, 1007 are positive factors. The Pair Factors of 1007 are (1, 1007), (19, 53) and its Prime Factors are 19 × 53.

• All Factors of 1007: 1, 19, 53 and 1007
• Negative Factors of 1007: -1, -19, -53 and -1007
• Prime Factors of 1007: 19, 53
• Prime Factorization of 1007: 19¹ × 53¹
• Sum of Factors of 1007: 1080

1.	What Are the Factors of 1007?
2.	Factors of 1007 by Prime Factorization
3.	Factors of 1007 in Pairs
4.	FAQs on Factors of 1007

Factors of 1007 are pairs of those numbers whose products result in 1007. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1007?

To find the factors of 1007, we will have to find the list of numbers that would divide 1007 without leaving any remainder.

• 1007/53 = 19; therefore, 53 is a factor of 1007 and 19 is also a factor of 1007.
• 1007/1 = 1007; therefore, 1 is a factor of 1007 and 1007 is also a factor of 1007.

Similarly we can find other factors. Hence, the factors of 1007 are 1, 19, 53, 1007.

☛ Also Check:

• Factors of 7 - The factors of 7 are 1, 7
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 26 - The factors of 26 are 1, 2, 13, 26

The number 1007 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1007. The first step is to divide the number 1007 with the smallest prime factor, here it is 19. We keep dividing until it gives a non-zero remainder.

• 1007 ÷ 19 = 53

Further dividing 53 by 19 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 1007 can be written as 19¹ × 53¹ where 19, 53 are prime.

Pair factors of 1007 are the pairs of numbers that when multiplied give the product 1007. The factors of 1007 in pairs are:

• 1 × 1007 = (1, 1007)
• 19 × 53 = (19, 53)

Negative pair factors of 1007 are:

• -1 × -1007 = (-1, -1007)
• -19 × -53 = (-19, -53)

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