Factors of 202
Factors of 202 are integers that can be divided evenly into 202. There are 4 factors of 202, which are 1, 2, 101, 202. Here, 202 is the biggest factor. The sum of all factors of 202 is 306. Its Prime Factors are 2 × 101 and (1, 202), (2, 101) are Pair Factors.
- All Factors of 202: 1, 2, 101 and 202
- Negative Factors of 202: -1, -2, -101 and -202
- Prime Factors of 202: 2, 101
- Prime Factorization of 202: 21 × 1011
- Sum of Factors of 202: 306
1. | What Are the Factors of 202? |
2. | Factors of 202 by Prime Factorization |
3. | Factors of 202 in Pairs |
4. | FAQs on Factors of 202 |
What are Factors of 202?
Factors of 202 are pairs of those numbers whose products result in 202. These factors are either prime numbers or composite numbers.
How to Find the Factors of 202?
To find the factors of 202, we will have to find the list of numbers that would divide 202 without leaving any remainder.
- 202/101 = 2; therefore, 101 is a factor of 202 and 2 is also a factor of 202.
- 202/202 = 1; therefore, 202 is a factor of 202 and 1 is also a factor of 202.
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Factors of 202 by Prime Factorization
- 202 ÷ 2 = 101
Further dividing 101 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 101 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 202 can be written as 21 × 1011 where 2, 101 are prime.
Factors of 202 in Pairs
Pair factors of 202 are the pairs of numbers that when multiplied give the product 202. The factors of 202 in pairs are:
- 1 × 202 = (1, 202)
- 2 × 101 = (2, 101)
Negative pair factors of 202 are:
- -1 × -202 = (-1, -202)
- -2 × -101 = (-2, -101)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 202 Solved Examples
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Example 1: How many factors are there for 202?
Solution:
The factors of 202 are 1, 2, 101, 202. Therefore, 202 has 4 factors.
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Example 2: Find the LCM and Greatest Common Divisor (GCD) of 202 and 190.
Solution:
The factors of 202 are 1, 2, 101, 202 and factors of 190 are 1, 2, 5, 10, 19, 38, 95, 190.
Therefore, the LCM of 202 and 190 is 19190 and Greatest Common Divisor (GCD) of 202 and 190 is 2. -
Example 3: Find if 2, 101 and 164 are factors of 202.
Solution:
When we divide 202 by 164 it leaves a remainder. Therefore, the number 164 is not a factor of 202. All numbers except 164 are factors of 202.
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Example 4: Find the product of all the prime factors of 202.
Solution:
Since, the prime factors of 202 are 2, 101. Therefore, the product of prime factors = 2 × 101 = 202.
FAQs on Factors of 202
What are the Factors of 202?
The factors of 202 are 1, 2, 101, 202 and its negative factors are -1, -2, -101, -202.
What is the Sum of all Factors of 202?
Since, all factors of 202 are 1, 2, 101, 202 therefore, the sum of its factors is 1 + 2 + 101 + 202 = 306.
What Numbers are the Prime Factors of 202?
The prime factors of 202 are 2, 101.
What is the Greatest Common Factor of 202 and 30?
The factors of 202 and 30 are 1, 2, 101, 202 and 1, 2, 3, 5, 6, 10, 15, 30 respectively.
Common factors of 202 and 30 are [1, 2].
Hence, the Greatest Common Factor of 202 and 30 is 2.
How Many Factors of 65 are also common to the Factors of 202?
Since, the factors of 202 are 1, 2, 101, 202 and factors of 65 are 1, 5, 13, 65. Hence, 202 and 65 have only one common factor which is 1. Therefore, 202 and 65 are co-prime.
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