Factors of 94
Did you know that 94 is an even composite number and it is the second number in the third triplet of three consecutive distinct semiprimes, 93, 94, and 95? In this lesson, we will calculate the factors of 94, prime factors of 94, and factors of 94 in pairs along with solved examples for a better understanding.
- Factors of 94: 1, 2, 47, and 94.
- Prime Factorization of 94: 94 = 2 × 47
What are the Factors of 94?
Factors of a given number are the numbers that divide the given number exactly without any remainder i.e. the remainder is 0. Following are the factors of 94 are 1, 2, 47, and 94. On adding its factors which are proper divisors, we get 1+2+47= 50 < 94. The sum of the proper divisors of 94 is less than 94. So, 94 is known as a deficient number.
How to Calculate the Factors of 94?
Various methods like prime factorization and the division method can be used to calculate the factors of 94. In prime factorization, we express 94 as a product of its prime factors and in the division method, we look for numbers that divide 94 without a remainder.
Explore factors using illustrations and interactive examples
- Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25 and 75
- Factors of 91 - The factors of 91 are 1, 7 13, 91
- Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Factors of 45 - The factors of 168 are 1, 3, 5, 9, 15, 45
- Factors of 294 - The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294.
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 94 by Prime Factorization
Prime factorization means expressing a number in terms of the product of its prime factors. We can do use the division method or factor tree to do this.
1. Prime Factorization by Division
The number 94 is divided by the smallest prime number which divides 94 exactly, i.e. it leaves a remainder 0. The quotient is then divided by the smallest or second smallest prime number and the process continues till the quotient becomes indivisible. Since 94 is an even number, it will be divisible by 2 and its multiples.
94 ÷ 2=47
Now, 47 is again a prime number and ihence can't be further divided. Prime factorization of 94 = 2 × 47
2. Prime Factorization by Factor Tree
The other way of prime factorization as taking 94 as the root, we create branches by dividing it by prime numbers. This method is similar to the above division method. The difference lies in presenting the factorization. The composite numbers will have branches as they are further divisible. We continue making branches till we are left with only prime numbers. Now that we have done the prime factorization of 94, we can multiply them and get the other factors. Can you try and find out if all the factors are covered or not? And as you might have already guessed it, for prime numbers, there are no other factors.
Factors of 94 in Pairs
The factor pairs of a number are the two numbers which, when multiplied, give the required number.
Considering the number 94, we have
- 1 × 94 = 94
- 2 × 47 = 94
So, the factor pairs of 94 are : (1, 94), (2, 47)
The product of two negative numbers also results in a positive number i.e. (-ve) × (-ve) = (+ve).
So, (-1, -94), (-2, -47) are also factor pairs of 94.
Important Notes:
- The factors of 94 are 1, 2, 47, and 94.
- Prime factorization can be done by the division method, factor tree method, and upside down division method.
- The smallest factor of a number is 1 and the greatest factor of a number would be the number itself
Challenging Questions:
- What is the sum of all the odd factors of 94?
- Calculate the prime factors of 9400?
FAQs on Factors of 94
What are the factors of 94?
The factors of 94 are 1, 2, 47, and 94.
Are all the factors of 94 prime?
No, all the factors of 94 are not prime.
What are the prime factors of 94?
The prime factors of 94 are 2 and 47
What are the negative factors of 94?
Negative factors of 94 are -1, -2, -47, and -94.
What are the common factors of 94 and 47?
The factors of 94 are 1, 2, 47, and 94.
The factors of 47 are 1, and 47
Hence the common factors are 1, and 47.