Factors of 407 are numbers that, when multiplied in pairs give the product as 407. There are overall 4 factors of 407 among which 407 is the biggest factor and its positive factors are 1, 11, 37, 407. The sum of all factors of 407 is 456 and its factors in Pairs are (1, 407), (11, 37).

• All Factors of 407: 1, 11, 37 and 407
• Negative Factors of 407: -1, -11, -37 and -407
• Prime Factors of 407: 11, 37
• Prime Factorization of 407: 11¹ × 37¹
• Sum of Factors of 407: 456

1.	What Are the Factors of 407?
2.	Factors of 407 by Prime Factorization
3.	Factors of 407 in Pairs
4.	FAQs on Factors of 407

Factors of 407 are pairs of those numbers whose products result in 407. These factors are either prime numbers or composite numbers.

How to Find the Factors of 407?

To find the factors of 407, we will have to find the list of numbers that would divide 407 without leaving any remainder.

• 407/37 = 11; therefore, 37 is a factor of 407 and 11 is also a factor of 407.
• 407/407 = 1; therefore, 407 is a factor of 407 and 1 is also a factor of 407.

Similarly we can find other factors. Hence, the factors of 407 are 1, 11, 37, 407.

☛ Also Check:

• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50

The number 407 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 407. The first step is to divide the number 407 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 407 ÷ 11 = 37

Further dividing 37 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 407 can be written as 11¹ × 37¹ where 11, 37 are prime.

Pair factors of 407 are the pairs of numbers that when multiplied give the product 407. The factors of 407 in pairs are:

• 1 × 407 = (1, 407)
• 11 × 37 = (11, 37)

Negative pair factors of 407 are:

• -1 × -407 = (-1, -407)
• -11 × -37 = (-11, -37)

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