Factors of 434 are the list of integers that we can split evenly into 434. There are overall 8 factors of 434 i.e. 1, 2, 7, 14, 31, 62, 217, 434 where 434 is the biggest factor. The Prime Factors of 434 are 2 × 7 × 31 and its Factors in Pairs are (1, 434), (2, 217), (7, 62), (14, 31).

• All Factors of 434: 1, 2, 7, 14, 31, 62, 217 and 434
• Negative Factors of 434: -1, -2, -7, -14, -31, -62, -217 and -434
• Prime Factors of 434: 2, 7, 31
• Prime Factorization of 434: 2¹ × 7¹ × 31¹
• Sum of Factors of 434: 768

1.	What Are the Factors of 434?
2.	Factors of 434 by Prime Factorization
3.	Factors of 434 in Pairs
4.	FAQs on Factors of 434

Factors of 434 are pairs of those numbers whose products result in 434. These factors are either prime numbers or composite numbers.

How to Find the Factors of 434?

To find the factors of 434, we will have to find the list of numbers that would divide 434 without leaving any remainder.

• 434/7 = 62; therefore, 7 is a factor of 434 and 62 is also a factor of 434.
• 434/31 = 14; therefore, 31 is a factor of 434 and 14 is also a factor of 434.

Similarly we can find other factors. Hence, the factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434.

☛ Also Check:

• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The number 434 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 434. The first step is to divide the number 434 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 434 ÷ 2 = 217

Further dividing 217 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 217 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 434 can be written as 2¹ × 7¹ × 31¹ where 2, 7, 31 are prime.

Pair factors of 434 are the pairs of numbers that when multiplied give the product 434. The factors of 434 in pairs are:

• 1 × 434 = (1, 434)
• 2 × 217 = (2, 217)
• 7 × 62 = (7, 62)
• 14 × 31 = (14, 31)

Negative pair factors of 434 are:

• -1 × -434 = (-1, -434)
• -2 × -217 = (-2, -217)
• -7 × -62 = (-7, -62)
• -14 × -31 = (-14, -31)

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