Factors of 302
Factors of 302 are the list of integers that can be evenly divided into 302. There are total 4 factors of 302 i.e. 1, 2, 151, 302. The sum of all factors of 302 is 456 and its factors in Pairs are (1, 302), (2, 151).
- All Factors of 302: 1, 2, 151 and 302
- Negative Factors of 302: -1, -2, -151 and -302
- Prime Factors of 302: 2, 151
- Prime Factorization of 302: 21 × 1511
- Sum of Factors of 302: 456
1. | What Are the Factors of 302? |
2. | Factors of 302 by Prime Factorization |
3. | Factors of 302 in Pairs |
4. | FAQs on Factors of 302 |
What are Factors of 302?
Factors of 302 are pairs of those numbers whose products result in 302. These factors are either prime numbers or composite numbers.
How to Find the Factors of 302?
To find the factors of 302, we will have to find the list of numbers that would divide 302 without leaving any remainder.
- 302/151 = 2; therefore, 151 is a factor of 302 and 2 is also a factor of 302.
- 302/1 = 302; therefore, 1 is a factor of 302 and 302 is also a factor of 302.
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- Factors of 35 - The factors of 35 are 1, 5, 7, 35
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 13 - The factors of 13 are 1, 13
Factors of 302 by Prime Factorization
- 302 ÷ 2 = 151
Further dividing 151 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 151 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 302 can be written as 21 × 1511 where 2, 151 are prime.
Factors of 302 in Pairs
Pair factors of 302 are the pairs of numbers that when multiplied give the product 302. The factors of 302 in pairs are:
- 1 × 302 = (1, 302)
- 2 × 151 = (2, 151)
Negative pair factors of 302 are:
- -1 × -302 = (-1, -302)
- -2 × -151 = (-2, -151)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 302 Solved Examples
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Example 1: How many factors are there for 302?
Solution:
The factors of 302 are 1, 2, 151, 302. Therefore, 302 has 4 factors.
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Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 302 and 131.
Solution:
The factors of 302 are 1, 2, 151, 302 and factors of 131 are 1, 131.
Therefore, the Least Common Multiple of 302 and 131 is 39562 and Greatest Common Divisor (GCD) of 302 and 131 is 1. -
Example 3: Find if 1, 23 and 151 are factors of 302.
Solution:
When we divide 302 by 23 it leaves a remainder. Therefore, the number 23 is not a factor of 302. All numbers except 23 are factors of 302.
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Example 4: Find the product of all the prime factors of 302.
Solution:
Since, the prime factors of 302 are 2, 151. Therefore, the product of prime factors = 2 × 151 = 302.
FAQs on Factors of 302
What are the Factors of 302?
The factors of 302 are 1, 2, 151, 302 and its negative factors are -1, -2, -151, -302.
What is the Sum of all Factors of 302?
Factors of 302 are 1, 2, 151, 302 and, the sum of all these factors is 1 + 2 + 151 + 302 = 456
What are the Prime Factors of 302?
The prime factors of 302 are 2, 151.
What is the Greatest Common Factor of 302 and 42?
The factors of 302 and 42 are 1, 2, 151, 302 and 1, 2, 3, 6, 7, 14, 21, 42 respectively.
Common factors of 302 and 42 are [1, 2].
Hence, the Greatest Common Factor of 302 and 42 is 2.
How Many Factors of 239 are also common to the Factors of 302?
Since, the factors of 302 are 1, 2, 151, 302 and factors of 239 are 1, 239. Hence, 302 and 239 have only one common factor which is 1. Therefore, 302 and 239 are co-prime.
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