Factors of 410 are numbers that, when multiplied in pairs give the product as 410. It has a total of 8 factors of which 410 is the biggest factor and the positive factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. The Prime Factors of 410 are 2 × 5 × 41 and its Factors in Pairs are (1, 410), (2, 205), (5, 82), (10, 41).

• All Factors of 410: 1, 2, 5, 10, 41, 82, 205 and 410
• Negative Factors of 410: -1, -2, -5, -10, -41, -82, -205 and -410
• Prime Factors of 410: 2, 5, 41
• Prime Factorization of 410: 2¹ × 5¹ × 41¹
• Sum of Factors of 410: 756

1.	What Are the Factors of 410?
2.	Factors of 410 by Prime Factorization
3.	Factors of 410 in Pairs
4.	FAQs on Factors of 410

Factors of 410 are pairs of those numbers whose products result in 410. These factors are either prime numbers or composite numbers.

How to Find the Factors of 410?

To find the factors of 410, we will have to find the list of numbers that would divide 410 without leaving any remainder.

• 410/41 = 10; therefore, 41 is a factor of 410 and 10 is also a factor of 410.
• 410/82 = 5; therefore, 82 is a factor of 410 and 5 is also a factor of 410.

Similarly we can find other factors. Hence, the factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410.

☛ Also Check:

• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 55 - The factors of 55 are 1, 5, 11, 55

The number 410 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 410. The first step is to divide the number 410 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 410 ÷ 2 = 205

Further dividing 205 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 205 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 410 can be written as 2¹ × 5¹ × 41¹ where 2, 5, 41 are prime.

Pair factors of 410 are the pairs of numbers that when multiplied give the product 410. The factors of 410 in pairs are:

• 1 × 410 = (1, 410)
• 2 × 205 = (2, 205)
• 5 × 82 = (5, 82)
• 10 × 41 = (10, 41)

Negative pair factors of 410 are:

• -1 × -410 = (-1, -410)
• -2 × -205 = (-2, -205)
• -5 × -82 = (-5, -82)
• -10 × -41 = (-10, -41)

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