1. Steps to find factors of 94 using Division Method

Example: Find factors of 94

  • Divide 94 by 1: 94 ÷ 1 : Remainder = 0
  • Divide 94 by 2: 94 ÷ 2 : Remainder = 0
  • Divide 94 by 47: 94 ÷ 47 : Remainder = 0
  • Divide 94 by 94: 94 ÷ 94 : Remainder = 0

Hence, Factors of 94 are 1, 2, 47, and 94

2. Steps to find factors of 94 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 94 using the division method, follow these steps:

  • Step 1. Start dividing 94 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 94, which is 2. Divide 94 by 2 to obtain the quotient (47).
    94 ÷ 2 = 47
  • Step 3. Repeat step 1 with the obtained quotient (47).
    47 ÷ 47 = 1

So, the prime factorization of 94 is, 94 = 2 x 47.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 94 as shown below:

So, the prime factorization of 94 is, 94 = 2 x 47.

3. Find factors of 94 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 94 would be the two numbers which, when multiplied, give 94 as the result.

The following table represents the calculation of factors of 94 in pairs:

Factor Pair Pair Factorization
1 and 94 1 x 94 = 94
2 and 47 2 x 47 = 94

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 94. They are called negative pair factors.

Hence, the negative pairs of 94 would be ( -1 , -94 ) , ( -2 , -47 ) .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

  • Each number is a factor of itself. Eg. 94 is a factor of itself.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 47, 94 are exact divisors of 94.
  • 1 is a factor of every number. Eg. 1 is a factor of 94.
  • Every number is a factor of zero (0), since 94 x 0 = 0.

Frequently Asked Questions

  • Is 94 a perfect square?

    No 94 is not a perfect square.

  • What are factors of 94?

    Factors of 94 are 1, 2, 47, 94.

  • Which is greatest factor of 94?

    The greatest factor of 94 is 47.

  • What is the sum of all factors of 94?

    The sum of all factors of 94 is 144.

  • What are multiples of 94?

    First five multiples of 94 are 188, 282, 376, 470.

  • What is the greatest prime factors of 94?

    The greatest prime factor of 94 is 47.

  • What are six multiples of 94?

    First five multiples of 94 are 188, 282, 376, 470, 564, 658.

  • What is prime factorization of 94?

    Prime factorization of 94 is 2 x 47.

  • Is 94 a whole number?

    Yes 94 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 94? Help her in writing all the factors.

Positive factors are 1, 2, 47, 94.
Negative factors are -1, -2, -47, -94.

Can you help Sammy find out the product of the odd factors of 94?

Factors of 94 are 1, 2, 47, 94.
Odd factors of 94 are 1, 47.
Hence product of odd factors of 94 is; 1 x 47 = 47.

Joey wants to write all the prime factors of 94 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 94 are 2, 47.
So in exponential form it can be written as 2 x 47.

How many factors are there for 94?

Factors of 94 are 1, 2, 47, 94.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 94. Can you predict the answer?

3 factor(s) of 94 are 1, 2, 47.

Sammy is puzzled while calculating the prime factors of 94. Can you help him find them?

Factors of 94 are 1, 2, 47, 94.
Prime factors of 94 are 2, 47

What is prime factorization of 94?

Prime factorization of 94 is 2 x 47 = 2 x 47.