Factors of 474
Factors of 474 are integers that can be divided evenly into 474. There are overall 8 factors of 474 i.e. 1, 2, 3, 6, 79, 158, 237, 474 where 474 is the biggest factor. The sum of all factors of 474 is 960 and its factors in Pairs are (1, 474), (2, 237), (3, 158), (6, 79).
- All Factors of 474: 1, 2, 3, 6, 79, 158, 237 and 474
- Negative Factors of 474: -1, -2, -3, -6, -79, -158, -237 and -474
- Prime Factors of 474: 2, 3, 79
- Prime Factorization of 474: 21 × 31 × 791
- Sum of Factors of 474: 960
1. | What Are the Factors of 474? |
2. | Factors of 474 by Prime Factorization |
3. | Factors of 474 in Pairs |
4. | FAQs on Factors of 474 |

What are Factors of 474?
Factors of 474 are pairs of those numbers whose products result in 474. These factors are either prime numbers or composite numbers.
How to Find the Factors of 474?
To find the factors of 474, we will have to find the list of numbers that would divide 474 without leaving any remainder.
- 474/158 = 3; therefore, 158 is a factor of 474 and 3 is also a factor of 474.
- 474/79 = 6; therefore, 79 is a factor of 474 and 6 is also a factor of 474.
☛ Also Check:
- Factors of 5 - The factors of 5 are 1, 5
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- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
Factors of 474 by Prime Factorization
- 474 ÷ 2 = 237
Further dividing 237 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 237 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 474 can be written as 21 × 31 × 791 where 2, 3, 79 are prime.
Factors of 474 in Pairs
Pair factors of 474 are the pairs of numbers that when multiplied give the product 474. The factors of 474 in pairs are:
- 1 × 474 = (1, 474)
- 2 × 237 = (2, 237)
- 3 × 158 = (3, 158)
- 6 × 79 = (6, 79)
Negative pair factors of 474 are:
- -1 × -474 = (-1, -474)
- -2 × -237 = (-2, -237)
- -3 × -158 = (-3, -158)
- -6 × -79 = (-6, -79)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 474 Solved Examples
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Example 1: How many factors are there for 474?
Solution:
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. Therefore, 474 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 474 and 182.
Solution:
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474 and factors of 182 are 1, 2, 7, 13, 14, 26, 91, 182.
Therefore, the Least Common Multiple (LCM) of 474 and 182 is 43134 and Greatest Common Factor (GCF) of 474 and 182 is 2. -
Example 3: Find if 1, 2, 158, 237 and 465 are factors of 474.
Solution:
When we divide 474 by 465 it leaves a remainder. Therefore, the number 465 is not a factor of 474. All numbers except 465 are factors of 474.
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Example 4: Find the product of all the prime factors of 474.
Solution:
Since, the prime factors of 474 are 2, 3, 79. Therefore, the product of prime factors = 2 × 3 × 79 = 474.
FAQs on Factors of 474
What are the Factors of 474?
The factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474 and its negative factors are -1, -2, -3, -6, -79, -158, -237, -474.
What is the Sum of all the Factors of 474?
Sum of all factors of 474 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (791 + 1 - 1)/(79 - 1) = 960
What numbers are the Pair Factors of 474?
The pair factors of 474 are (1, 474), (2, 237), (3, 158), (6, 79).
What is the Greatest Common Factor of 474 and 42?
The factors of 474 and 42 are 1, 2, 3, 6, 79, 158, 237, 474 and 1, 2, 3, 6, 7, 14, 21, 42 respectively.
Common factors of 474 and 42 are [1, 2, 3, 6].
Hence, the Greatest Common Factor (GCF) of 474 and 42 is 6.
How Many Factors of 474 are also common to the Factors of 61?
Since, the factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474 and factors of 61 are 1, 61. Hence, 474 and 61 have only one common factor which is 1. Therefore, 474 and 61 are co-prime.
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