1. Steps to find factors of 292 using Division Method

Example: Find factors of 292

  • Divide 292 by 1: 292 ÷ 1 : Remainder = 0
  • Divide 292 by 2: 292 ÷ 2 : Remainder = 0
  • Divide 292 by 4: 292 ÷ 4 : Remainder = 0
  • Divide 292 by 73: 292 ÷ 73 : Remainder = 0
  • Divide 292 by 146: 292 ÷ 146 : Remainder = 0
  • Divide 292 by 292: 292 ÷ 292 : Remainder = 0

Hence, Factors of 292 are 1, 2, 4, 73, 146, and 292

2. Steps to find factors of 292 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 292 using the division method, follow these steps:

  • Step 1. Start dividing 292 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 292, which is 2. Divide 292 by 2 to obtain the quotient (146).
    292 ÷ 2 = 146
  • Step 3. Repeat step 1 with the obtained quotient (146).
    146 ÷ 2 = 73
    73 ÷ 73 = 1

So, the prime factorization of 292 is, 292 = 2 x 2 x 73.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 292 as shown below:

So, the prime factorization of 292 is, 292 = 2 x 2 x 73.

3. Find factors of 292 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 292 would be the two numbers which, when multiplied, give 292 as the result.

The following table represents the calculation of factors of 292 in pairs:

Factor Pair Pair Factorization
1 and 292 1 x 292 = 292
2 and 146 2 x 146 = 292
4 and 73 4 x 73 = 292

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 292. They are called negative pair factors.

Hence, the negative pairs of 292 would be ( -1 , -292 ) , ( -2 , -146 ) and ( -4 , -73 ) .

How do you explain factors?

In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 292 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 292.
  • Every number is a factor of zero (0), since 292 x 0 = 0.
  • 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, 4, 73, 146, 292 are exact divisors of 292.
  • Factors of 292 are 1, 2, 4, 73, 146, 292. Each factor divides 292 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 73, 146, 292 are all less than or equal to 292.

Frequently Asked Questions

  • Is 292 a perfect square?

    No 292 is not a perfect square.

  • What are factors of 292?

    Factors of 292 are 1, 2, 4, 73, 146, 292.

  • Which is greatest factor of 292?

    The greatest factor of 292 is 146.

  • What is the sum of all factors of 292?

    The sum of all factors of 292 is 518.

  • What are multiples of 292?

    First five multiples of 292 are 584, 876, 1168, 1460.

  • What is the greatest prime factors of 292?

    The greatest prime factor of 292 is 73.

  • What are six multiples of 292?

    First five multiples of 292 are 584, 876, 1168, 1460, 1752, 2044.

  • What is prime factorization of 292?

    Prime factorization of 292 is 2 x 2 x 73.

  • Is 292 a whole number?

    Yes 292 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 292? Help her in writing all the factors.

Positive factors are 1, 2, 4, 73, 146, 292.
Negative factors are -1, -2, -4, -73, -146, -292.

Can you help Sammy find out the product of the odd factors of 292?

Factors of 292 are 1, 2, 4, 73, 146, 292.
Odd factors of 292 are 1, 73.
Hence product of odd factors of 292 is; 1 x 73 = 73.

Joey wants to write all the prime factors of 292 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 292 are 2, 2, 73.
So in exponential form it can be written as 22 x 73.

How many factors are there for 292?

Factors of 292 are 1, 2, 4, 73, 146, 292.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 292. Can you predict the answer?

5 factor(s) of 292 are 1, 2, 4, 73, 146.

Sammy is puzzled while calculating the prime factors of 292. Can you help him find them?

Factors of 292 are 1, 2, 4, 73, 146, 292.
Prime factors of 292 are 2, 2, 73

What is prime factorization of 292?

Prime factorization of 292 is 2 x 2 x 73 = 22 x 73.