Factors of 7429
Factors of 7429 are the list of integers that we can split evenly into 7429. There are total 8 factors of 7429 i.e. 1, 17, 19, 23, 323, 391, 437, 7429. The Prime Factors of 7429 are 17 × 19 × 23 and its Factors in Pairs are (1, 7429), (17, 437), (19, 391), (23, 323).
- All Factors of 7429: 1, 17, 19, 23, 323, 391, 437 and 7429
- Negative Factors of 7429: -1, -17, -19, -23, -323, -391, -437 and -7429
- Prime Factors of 7429: 17, 19, 23
- Prime Factorization of 7429: 171 × 191 × 231
- Sum of Factors of 7429: 8640
1. | What Are the Factors of 7429? |
2. | Factors of 7429 by Prime Factorization |
3. | Factors of 7429 in Pairs |
4. | FAQs on Factors of 7429 |
What are Factors of 7429?
Factors of 7429 are pairs of those numbers whose products result in 7429. These factors are either prime numbers or composite numbers.
How to Find the Factors of 7429?
To find the factors of 7429, we will have to find the list of numbers that would divide 7429 without leaving any remainder.
- 7429/17 = 437; therefore, 17 is a factor of 7429 and 437 is also a factor of 7429.
- 7429/391 = 19; therefore, 391 is a factor of 7429 and 19 is also a factor of 7429.
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- Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
- Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
Factors of 7429 by Prime Factorization
- 7429 ÷ 17 = 437
Further dividing 437 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 437 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 7429 can be written as 171 × 191 × 231 where 17, 19, 23 are prime.
Factors of 7429 in Pairs
Pair factors of 7429 are the pairs of numbers that when multiplied give the product 7429. The factors of 7429 in pairs are:
- 1 × 7429 = (1, 7429)
- 17 × 437 = (17, 437)
- 19 × 391 = (19, 391)
- 23 × 323 = (23, 323)
Negative pair factors of 7429 are:
- -1 × -7429 = (-1, -7429)
- -17 × -437 = (-17, -437)
- -19 × -391 = (-19, -391)
- -23 × -323 = (-23, -323)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 7429 Solved Examples
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Example 1: How many factors are there for 7429?
Solution:
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429. Therefore, 7429 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 7429 and 1636.
Solution:
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429 and factors of 1636 are 1, 2, 4, 409, 818, 1636.
Therefore, the Lowest Common Multiple (LCM) of 7429 and 1636 is 12153844 and Highest Common Factor (HCF) of 7429 and 1636 is 1. -
Example 3: Find if 23, 391, 437, 6385 and 7429 are factors of 7429.
Solution:
When we divide 7429 by 6385 it leaves a remainder. Therefore, the number 6385 is not a factor of 7429. All numbers except 6385 are factors of 7429.
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Example 4: Find the product of all the prime factors of 7429.
Solution:
Since, the prime factors of 7429 are 17, 19, 23. Therefore, the product of prime factors = 17 × 19 × 23 = 7429.
FAQs on Factors of 7429
What are the Factors of 7429?
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429 and its negative factors are -1, -17, -19, -23, -323, -391, -437, -7429.
What is the Sum of Factors of 7429?
Sum of all factors of 7429 = (171 + 1 - 1)/(17 - 1) × (191 + 1 - 1)/(19 - 1) × (231 + 1 - 1)/(23 - 1) = 8640
What are the Pair Factors of 7429?
The pair factors of 7429 are (1, 7429), (17, 437), (19, 391), (23, 323).
What is the Greatest Common Factor of 7429 and 1442?
The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429 and the factors of 1442 are 1, 2, 7, 14, 103, 206, 721, 1442. 7429 and 1442 have only one common factor which is 1. This implies that 7429 and 1442 are co-prime.
Hence, the Greatest Common Factor (GCF) of 7429 and 1442 is 1.
How Many Factors of 7429 are also common to the Factors of 3844?
Since, the factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429 and factors of 3844 are 1, 2, 4, 31, 62, 124, 961, 1922, 3844. Hence, 7429 and 3844 have only one common factor which is 1. Therefore, 7429 and 3844 are co-prime.
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