Factors of 413 are numbers that, when multiplied in pairs give the product as 413. There are 4 factors of 413 of which 413 itself is the biggest factor and its positive factors are 1, 7, 59, 413. The Prime Factors of 413 are 7 × 59 and its Factors in Pairs are (1, 413), (7, 59).

• All Factors of 413: 1, 7, 59 and 413
• Negative Factors of 413: -1, -7, -59 and -413
• Prime Factors of 413: 7, 59
• Prime Factorization of 413: 7¹ × 59¹
• Sum of Factors of 413: 480

1.	What Are the Factors of 413?
2.	Factors of 413 by Prime Factorization
3.	Factors of 413 in Pairs
4.	FAQs on Factors of 413

Factors of 413 are pairs of those numbers whose products result in 413. These factors are either prime numbers or composite numbers.

How to Find the Factors of 413?

To find the factors of 413, we will have to find the list of numbers that would divide 413 without leaving any remainder.

• 413/7 = 59; therefore, 7 is a factor of 413 and 59 is also a factor of 413.
• 413/1 = 413; therefore, 1 is a factor of 413 and 413 is also a factor of 413.

Similarly we can find other factors. Hence, the factors of 413 are 1, 7, 59, 413.

☛ Also Check:

• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

The number 413 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 413. The first step is to divide the number 413 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 413 ÷ 7 = 59

Further dividing 59 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 59 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 413 can be written as 7¹ × 59¹ where 7, 59 are prime.

Pair factors of 413 are the pairs of numbers that when multiplied give the product 413. The factors of 413 in pairs are:

• 1 × 413 = (1, 413)
• 7 × 59 = (7, 59)

Negative pair factors of 413 are:

• -1 × -413 = (-1, -413)
• -7 × -59 = (-7, -59)

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