Factors of 633

2. Steps to find factors of 633 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 633 using the division method, follow these steps:

• Step 1. Start dividing 633 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 633, which is 3. Divide 633 by 3 to obtain the quotient (211).
  633 ÷ 3 = 211
• Step 3. Repeat step 1 with the obtained quotient (211).
  211 ÷ 211 = 1

So, the prime factorization of 633 is, 633 = 3 x 211.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 633 as shown below:

So, the prime factorization of 633 is, 633 = 3 x 211.

3. Find factors of 633 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 633 would be the two numbers which, when multiplied, give 633 as the result.

The following table represents the calculation of factors of 633 in pairs:

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 633. They are called negative pair factors.

Hence, the negative pairs of 633 would be ( -1 , -633 ) , ( -3 , -211 ) .

What is the definition of factors?

In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.

Properties of factors

• Every factor of a number is an exact divisor of that number, example 1, 3, 211, 633 are exact divisors of 633.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 633 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 633.

Frequently Asked Questions

• What are the prime factors of 633?

  The factors of 633 are 1, 3, 211, 633.
  Prime factors of 633 are 3, 211.

• What two numbers make 633?

  Two numbers that make 633 are 3 and 211.

• What is the greatest prime factors of 633?

  The greatest prime factor of 633 is 211.

• What are factors of 633?

  Factors of 633 are 1, 3, 211, 633.

• How do you find factors of a negative number? ( eg. -633 )?

  Factors of -633 are -1, -3, -211, -633.

• What are five multiples of 633?

  First five multiples of 633 are 1266, 1899, 2532, 3165, 3798.

• Write some multiples of 633?

  First five multiples of 633 are 1266, 1899, 2532, 3165.

• Is 633 a perfect square?

  No 633 is not a perfect square.

• What two numbers make 633?

  Two numbers that make 633 are 3 and 211.

Examples of Factors