1. Steps to find factors of 282 using Division Method

Example: Find factors of 282

  • Divide 282 by 1: 282 ÷ 1 : Remainder = 0
  • Divide 282 by 2: 282 ÷ 2 : Remainder = 0
  • Divide 282 by 3: 282 ÷ 3 : Remainder = 0
  • Divide 282 by 6: 282 ÷ 6 : Remainder = 0
  • Divide 282 by 47: 282 ÷ 47 : Remainder = 0
  • Divide 282 by 94: 282 ÷ 94 : Remainder = 0
  • Divide 282 by 141: 282 ÷ 141 : Remainder = 0
  • Divide 282 by 282: 282 ÷ 282 : Remainder = 0

Hence, Factors of 282 are 1, 2, 3, 6, 47, 94, 141, and 282

2. Steps to find factors of 282 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 282 using the division method, follow these steps:

  • Step 1. Start dividing 282 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 282, which is 2. Divide 282 by 2 to obtain the quotient (141).
    282 ÷ 2 = 141
  • Step 3. Repeat step 1 with the obtained quotient (141).
    141 ÷ 3 = 47
    47 ÷ 47 = 1

So, the prime factorization of 282 is, 282 = 2 x 3 x 47.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 282 as shown below:

So, the prime factorization of 282 is, 282 = 2 x 3 x 47.

3. Find factors of 282 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 282 would be the two numbers which, when multiplied, give 282 as the result.

The following table represents the calculation of factors of 282 in pairs:

Factor Pair Pair Factorization
1 and 282 1 x 282 = 282
2 and 141 2 x 141 = 282
3 and 94 3 x 94 = 282
6 and 47 6 x 47 = 282

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 282. They are called negative pair factors.

Hence, the negative pairs of 282 would be ( -1 , -282 ) , ( -2 , -141 ) , ( -3 , -94 ) and ( -6 , -47 ) .

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. 282 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, 3, 6, 47, 94, 141, 282 are exact divisors of 282.
  • 1 is a factor of every number. Eg. 1 is a factor of 282.
  • Every number is a factor of zero (0), since 282 x 0 = 0.

Frequently Asked Questions

  • What are the prime factors of 282?

    The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.
    Prime factors of 282 are 2, 3, 47.

  • What two numbers make 282?

    Two numbers that make 282 are 2 and 141.

  • What is the greatest prime factors of 282?

    The greatest prime factor of 282 is 47.

  • What are factors of 282?

    Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.

  • How do you find factors of a negative number? ( eg. -282 )?

    Factors of -282 are -1, -2, -3, -6, -47, -94, -141, -282.

  • What are five multiples of 282?

    First five multiples of 282 are 564, 846, 1128, 1410, 1692.

  • Write some multiples of 282?

    First five multiples of 282 are 564, 846, 1128, 1410.

  • Is 282 a perfect square?

    No 282 is not a perfect square.

  • What two numbers make 282?

    Two numbers that make 282 are 2 and 141.

Examples of Factors

What is prime factorization of 282?

Prime factorization of 282 is 2 x 3 x 47 = 2 x 3 x 47.

Sammy is puzzled while calculating the prime factors of 282. Can you help him find them?

Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.
Prime factors of 282 are 2, 3, 47

Kevin has been asked to write 7 factor(s) of 282. Can you predict the answer?

7 factor(s) of 282 are 1, 2, 3, 6, 47, 94, 141.

Joey wants to write all the prime factors of 282 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 282 are 2, 3, 47.
So in exponential form it can be written as 2 x 3 x 47.

How many factors are there for 282?

Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 282? Help her in writing all the factors.

Positive factors are 1, 2, 3, 6, 47, 94, 141, 282.
Negative factors are -1, -2, -3, -6, -47, -94, -141, -282.

Can you help Rubel to find out the product of the even factors of 282?

Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282.
Even factors of 282 are 2, 6, 94, 282.
Hence, product of even factors of 282 is; 2 x 6 x 94 x 282 = 318096.