1. Steps to find factors of 633 using Division Method

Example: Find factors of 633

  • Divide 633 by 1: 633 ÷ 1 : Remainder = 0
  • Divide 633 by 3: 633 ÷ 3 : Remainder = 0
  • Divide 633 by 211: 633 ÷ 211 : Remainder = 0
  • Divide 633 by 633: 633 ÷ 633 : Remainder = 0

Hence, Factors of 633 are 1, 3, 211, and 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:

Factor Pair Pair Factorization
1 and 633 1 x 633 = 633
3 and 211 3 x 211 = 633

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

What is prime factorization of 633?

Prime factorization of 633 is 3 x 211 = 3 x 211.

Sammy is puzzled while calculating the prime factors of 633. Can you help him find them?

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

Kevin has been asked to write 3 factor(s) of 633. Can you predict the answer?

3 factor(s) of 633 are 1, 3, 211.

Joey wants to write all the prime factors of 633 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 633 are 3, 211.
So in exponential form it can be written as 3 x 211.

How many factors are there for 633?

Factors of 633 are 1, 3, 211, 633.
So there are in total 4 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 633? Help her in writing all the factors.

Positive factors are 1, 3, 211, 633.
Negative factors are -1, -3, -211, -633.

Can you help Rubel to find out the product of the even factors of 633?

Factors of 633 are 1, 3, 211, 633.
Even factors of 633 are 0.
Hence, product of even factors of 633 is; 0 = 0.