Factors of 409 are integers that can be divided evenly into 409. There are total 2 factors of 409 i.e. 1, 409. The Prime Factors of 409 is 409 and its Factors in Pairs are (1, 409).

• All Factors of 409: 1 and 409
• Negative Factors of 409: -1 and -409
• Prime Factors of 409: 409
• Prime Factorization of 409: 409¹
• Sum of Factors of 409: 410

1.	What Are the Factors of 409?
2.	Factors of 409 by Prime Factorization
3.	Factors of 409 in Pairs
4.	FAQs on Factors of 409

Factors of 409 are pairs of those numbers whose products result in 409. These factors are either prime numbers or composite numbers.

How to Find the Factors of 409?

To find the factors of 409, we will have to find the list of numbers that would divide 409 without leaving any remainder.

• 409/1 = 409; therefore, 1 is a factor of 409.
• 409/409 = 1; therefore, 409 is a factor of 409.

Hence, the factors of 409 are 1, 409.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 55 - The factors of 55 are 1, 5, 11, 55

The number 409 is prime and therefore its factors are only the numbers 1 and 409 itself. Hence, it has only one prime factor that is the number itself, i.e. 409.

So, the prime factorization of 409 can be written as 409¹ where 409 is prime.

Pair factors of 409 are the pairs of numbers that when multiplied give the product 409. The factors of 409 in pairs are:

• 1 × 409 = (1, 409)

Negative pair factors of 409 are:

• -1 × -409 = (-1, -409)

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