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Factors of 397

Factors of 397 are the list of integers that can be evenly divided into 397. There are 2 factors of 397, which are 1, 397. Here, 397 is the biggest factor. The sum of all factors of 397 is 398 and its factors in Pairs are (1, 397).

All Factors of 397: 1 and 397
Negative Factors of 397: -1 and -397
Prime Factors of 397: 397
Prime Factorization of 397: 397¹
Sum of Factors of 397: 398

1.	What Are the Factors of 397?
2.	Factors of 397 by Prime Factorization
3.	Factors of 397 in Pairs
4.	FAQs on Factors of 397

What are Factors of 397?

Factors of 397 are pairs of those numbers whose products result in 397. These factors are either prime numbers or composite numbers.

How to Find the Factors of 397?

To find the factors of 397, we will have to find the list of numbers that would divide 397 without leaving any remainder.

397/1 = 397; therefore, 1 is a factor of 397.
397/397 = 1; therefore, 397 is a factor of 397.

Hence, the factors of 397 are 1, 397.

☛ Also Check:

Factors of 19 - The factors of 19 are 1, 19
Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 10 - The factors of 10 are 1, 2, 5, 10
Factors of 57 - The factors of 57 are 1, 3, 19, 57
Factors of 51 - The factors of 51 are 1, 3, 17, 51

Factors of 397 by Prime Factorization

The number 397 is prime and therefore its factors are only the numbers 1 and 397 itself. Hence, it has only one prime factor that is the number itself, i.e. 397.

So, the prime factorization of 397 can be written as 397¹ where 397 is prime.

Factors of 397 in Pairs

Pair factors of 397 are the pairs of numbers that when multiplied give the product 397. The factors of 397 in pairs are:

1 × 397 = (1, 397)

Negative pair factors of 397 are:

-1 × -397 = (-1, -397)

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

Factors of 397 Solved Examples

Example 1: How many factors are there for 397?

Solution:

The factors of 397 are 1, 397. Therefore, 397 has 2 factors.
Example 2: Find the LCM and Highest Common Factor (HCF) of 397 and 42.

Solution:

The factors of 397 are 1, 397 and factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.

Therefore, the LCM of 397 and 42 is 16674 and Highest Common Factor (HCF) of 397 and 42 is 1.
Example 3: Find if 1 and 103 are factors of 397.

Solution:

When we divide 397 by 103 it leaves a remainder. Therefore, the number 103 is not a factor of 397. All numbers except 103 are factors of 397.
Example 4: Find the product of all the factors of 397.

Solution:

Since, the factors of 397 are 1, 397. Therefore, the product of factors = 1 × 397 = 397.

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FAQs on Factors of 397

What are the Factors of 397?

The factors of 397 are 1, 397 and its negative factors are -1, -397.

What is the Sum of all the Factors of 397?

All the Factors of 397 are 1, 397 and therefore the sum of all these factors is 1 + 397 = 398

What are Prime Factors of 397?

The prime factor of 397 is 397.

What is the Greatest Common Factor of 397 and 92?

The factors of 397 are 1, 397 and the factors of 92 are 1, 2, 4, 23, 46, 92. 397 and 92 have only one common factor which is 1. This implies that 397 and 92 are co-prime.

Hence, the Greatest Common Factor (GCF) of 397 and 92 is 1.

How Many Factors of 397 are also Factors of 127?

Since, the factors of 397 are 1, 397 and factors of 127 are 1, 127. Hence, 397 and 127 have only one common factor which is 1. Therefore, 397 and 127 are co-prime.

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