Factors of 469
Factors of 469 are the list of integers that we can split evenly into 469. There are total 4 factors of 469 i.e. 1, 7, 67, 469. The sum of all factors of 469 is 544. Its Prime Factors are 7 × 67 and (1, 469), (7, 67) are Pair Factors.
- All Factors of 469: 1, 7, 67 and 469
- Negative Factors of 469: -1, -7, -67 and -469
- Prime Factors of 469: 7, 67
- Prime Factorization of 469: 71 × 671
- Sum of Factors of 469: 544
1. | What Are the Factors of 469? |
2. | Factors of 469 by Prime Factorization |
3. | Factors of 469 in Pairs |
4. | FAQs on Factors of 469 |

What are Factors of 469?
Factors of 469 are pairs of those numbers whose products result in 469. These factors are either prime numbers or composite numbers.
How to Find the Factors of 469?
To find the factors of 469, we will have to find the list of numbers that would divide 469 without leaving any remainder.
- 469/7 = 67; therefore, 7 is a factor of 469 and 67 is also a factor of 469.
- 469/469 = 1; therefore, 469 is a factor of 469 and 1 is also a factor of 469.
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- Factors of 37 - The factors of 37 are 1, 37
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Factors of 7 - The factors of 7 are 1, 7
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 469 by Prime Factorization
- 469 ÷ 7 = 67
Further dividing 67 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 67 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 469 can be written as 71 × 671 where 7, 67 are prime.
Factors of 469 in Pairs
Pair factors of 469 are the pairs of numbers that when multiplied give the product 469. The factors of 469 in pairs are:
- 1 × 469 = (1, 469)
- 7 × 67 = (7, 67)
Negative pair factors of 469 are:
- -1 × -469 = (-1, -469)
- -7 × -67 = (-7, -67)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 469 Solved Examples
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Example 1: How many factors are there for 469?
Solution:
The factors of 469 are 1, 7, 67, 469. Therefore, 469 has 4 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 469 and 72.
Solution:
The factors of 469 are 1, 7, 67, 469 and factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.
Therefore, the Least Common Multiple of 469 and 72 is 33768 and Highest Common Factor (HCF) of 469 and 72 is 1. -
Example 3: Find if 1, 67 and 401 are factors of 469.
Solution:
When we divide 469 by 401 it leaves a remainder. Therefore, the number 401 is not a factor of 469. All numbers except 401 are factors of 469.
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Example 4: Find the product of all the prime factors of 469.
Solution:
Since, the prime factors of 469 are 7, 67. Therefore, the product of prime factors = 7 × 67 = 469.
FAQs on Factors of 469
What are the Factors of 469?
The factors of 469 are 1, 7, 67, 469 and its negative factors are -1, -7, -67, -469.
What is the Sum of the Factors of 469?
Since, all factors of 469 are 1, 7, 67, 469 therefore, the sum of its factors is 1 + 7 + 67 + 469 = 544.
What are the Prime Factors of 469?
The prime factors of 469 are 7, 67.
What is the Greatest Common Factor of 469 and 428?
The factors of 469 are 1, 7, 67, 469 and the factors of 428 are 1, 2, 4, 107, 214, 428. 469 and 428 have only one common factor which is 1. This implies that 469 and 428 are co-prime.
Hence, the Greatest Common Factor (GCF) of 469 and 428 is 1.
How Many Factors of 469 are also common to the Factors of 164?
Since, the factors of 469 are 1, 7, 67, 469 and factors of 164 are 1, 2, 4, 41, 82, 164. Hence, 469 and 164 have only one common factor which is 1. Therefore, 469 and 164 are co-prime.
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