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Factors of 1009

Factors of 1009 are the list of integers that can be evenly divided into 1009. There are overall 2 factors of 1009 i.e. 1, 1009 where 1009 is the biggest factor. The Prime Factors and Pair Factors of 1009 are 1009 and (1, 1009) respectively.

All Factors of 1009: 1 and 1009
Negative Factors of 1009: -1 and -1009
Prime Factors of 1009: 1009
Prime Factorization of 1009: 1009¹
Sum of Factors of 1009: 1010

1.	What Are the Factors of 1009?
2.	Factors of 1009 by Prime Factorization
3.	Factors of 1009 in Pairs
4.	FAQs on Factors of 1009

What are Factors of 1009?

Factors of 1009 are pairs of those numbers whose products result in 1009. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1009?

To find the factors of 1009, we will have to find the list of numbers that would divide 1009 without leaving any remainder.

1009/1 = 1009; therefore, 1 is a factor of 1009.
1009/1009 = 1; therefore, 1009 is a factor of 1009.

Hence, the factors of 1009 are 1, 1009.

☛ Also Check:

Factors of 7 - The factors of 7 are 1, 7
Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 34 - The factors of 34 are 1, 2, 17, 34
Factors of 9 - The factors of 9 are 1, 3, 9

Factors of 1009 by Prime Factorization

The number 1009 is prime and therefore its factors are only the numbers 1 and 1009 itself. Hence, it has only one prime factor that is the number itself, i.e. 1009.

So, the prime factorization of 1009 can be written as 1009¹ where 1009 is prime.

Factors of 1009 in Pairs

Pair factors of 1009 are the pairs of numbers that when multiplied give the product 1009. The factors of 1009 in pairs are:

1 × 1009 = (1, 1009)

Negative pair factors of 1009 are:

-1 × -1009 = (-1, -1009)

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

Factors of 1009 Solved Examples

Example 1: How many factors are there for 1009?

Solution:

The factors of 1009 are 1, 1009. Therefore, 1009 has 2 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 1009 and 887.

Solution:

The factors of 1009 are 1, 1009 and factors of 887 are 1, 887.

Therefore, the Lowest Common Multiple (LCM) of 1009 and 887 is 894983 and Greatest Common Factor (GCF) of 1009 and 887 is 1.
Example 3: Find if 872 and 1009 are factors of 1009.

Solution:

When we divide 1009 by 872 it leaves a remainder. Therefore, the number 872 is not a factor of 1009. All numbers except 872 are factors of 1009.
Example 4: Find the product of all the factors of 1009.

Solution:

Since, the factors of 1009 are 1, 1009. Therefore, the product of factors = 1 × 1009 = 1009.

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FAQs on Factors of 1009

What are the Factors of 1009?

The factors of 1009 are 1, 1009 and its negative factors are -1, -1009.

What is the Sum of all the Factors of 1009?

Since, all factors of 1009 are 1, 1009 therefore, the sum of its factors is 1 + 1009 = 1010.

What Numbers are the Prime Factors of 1009?

The prime factor of 1009 is 1009.

What is the Greatest Common Factor of 1009 and 558?

The factors of 1009 are 1, 1009 and the factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. 1009 and 558 have only one common factor which is 1. This implies that 1009 and 558 are co-prime.

Hence, the Greatest Common Factor (GCF) of 1009 and 558 is 1.

How Many Factors of 1009 are also Factors of 485?

Since, the factors of 1009 are 1, 1009 and factors of 485 are 1, 5, 97, 485. Hence, 1009 and 485 have only one common factor which is 1. Therefore, 1009 and 485 are co-prime.

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