Factors of 376
Factors of 376 are the list of integers that can be evenly divided into 376. There are 8 factors of 376, which are 1, 2, 4, 8, 47, 94, 188, 376. Here, 376 is the biggest factor. The sum of all factors of 376 is 720 and its factors in Pairs are (1, 376), (2, 188), (4, 94), (8, 47).
- All Factors of 376: 1, 2, 4, 8, 47, 94, 188 and 376
- Negative Factors of 376: -1, -2, -4, -8, -47, -94, -188 and -376
- Prime Factors of 376: 2, 47
- Prime Factorization of 376: 23 × 471
- Sum of Factors of 376: 720
1. | What Are the Factors of 376? |
2. | Factors of 376 by Prime Factorization |
3. | Factors of 376 in Pairs |
4. | FAQs on Factors of 376 |
What are Factors of 376?
Factors of 376 are pairs of those numbers whose products result in 376. These factors are either prime numbers or composite numbers.
How to Find the Factors of 376?
To find the factors of 376, we will have to find the list of numbers that would divide 376 without leaving any remainder.
- 376/376 = 1; therefore, 376 is a factor of 376.
- 376/47 = 8; therefore, 47 is a factor of 376.
☛ Also Check:
- Factors of 21 - The factors of 21 are 1, 3, 7, 21
- Factors of 49 - The factors of 49 are 1, 7, 49
- 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 19 - The factors of 19 are 1, 19
Factors of 376 by Prime Factorization
- 376 ÷ 2 = 188
- 188 ÷ 2 = 94
- 94 ÷ 2 = 47
Further dividing 47 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 47 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 376 can be written as 23 × 471 where 2, 47 are prime.
Factors of 376 in Pairs
Pair factors of 376 are the pairs of numbers that when multiplied give the product 376. The factors of 376 in pairs are:
- 1 × 376 = (1, 376)
- 2 × 188 = (2, 188)
- 4 × 94 = (4, 94)
- 8 × 47 = (8, 47)
Negative pair factors of 376 are:
- -1 × -376 = (-1, -376)
- -2 × -188 = (-2, -188)
- -4 × -94 = (-4, -94)
- -8 × -47 = (-8, -47)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 376 Solved Examples
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Example 1: How many factors are there for 376?
Solution:
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. Therefore, 376 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 376 and 53.
Solution:
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376 and factors of 53 are 1, 53.
Therefore, the Lowest Common Multiple (LCM) of 376 and 53 is 19928 and Highest Common Factor (HCF) of 376 and 53 is 1. -
Example 3: Find if 2, 94, 157, 188 and 376 are factors of 376.
Solution:
When we divide 376 by 157 it leaves a remainder. Therefore, the number 157 is not a factor of 376. All numbers except 157 are factors of 376.
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Example 4: Find the product of all the prime factors of 376.
Solution:
Since, the prime factors of 376 are 2, 47. Therefore, the product of prime factors = 2 × 47 = 94.
FAQs on Factors of 376
What are the Factors of 376?
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376 and its negative factors are -1, -2, -4, -8, -47, -94, -188, -376.
What is the Sum of Factors of 376?
Sum of all factors of 376 = (23 + 1 - 1)/(2 - 1) × (471 + 1 - 1)/(47 - 1) = 720
What are Prime Factors of 376?
The prime factors of 376 are 2, 47.
What is the Greatest Common Factor of 376 and 301?
The factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376 and the factors of 301 are 1, 7, 43, 301. 376 and 301 have only one common factor which is 1. This implies that 376 and 301 are co-prime.
Hence, the Greatest Common Factor (GCF) of 376 and 301 is 1.
How Many Factors of 253 are also common to the Factors of 376?
Since, the factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376 and factors of 253 are 1, 11, 23, 253. Hence, 376 and 253 have only one common factor which is 1. Therefore, 376 and 253 are co-prime.
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