1. Steps to find factors of 646 using Division Method

Example: Find factors of 646

  • Divide 646 by 1: 646 ÷ 1 : Remainder = 0
  • Divide 646 by 2: 646 ÷ 2 : Remainder = 0
  • Divide 646 by 17: 646 ÷ 17 : Remainder = 0
  • Divide 646 by 19: 646 ÷ 19 : Remainder = 0
  • Divide 646 by 34: 646 ÷ 34 : Remainder = 0
  • Divide 646 by 38: 646 ÷ 38 : Remainder = 0
  • Divide 646 by 323: 646 ÷ 323 : Remainder = 0
  • Divide 646 by 646: 646 ÷ 646 : Remainder = 0

Hence, Factors of 646 are 1, 2, 17, 19, 34, 38, 323, and 646

2. Steps to find factors of 646 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 646 using the division method, follow these steps:

  • Step 1. Start dividing 646 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 646, which is 2. Divide 646 by 2 to obtain the quotient (323).
    646 ÷ 2 = 323
  • Step 3. Repeat step 1 with the obtained quotient (323).
    323 ÷ 17 = 19
    19 ÷ 19 = 1

So, the prime factorization of 646 is, 646 = 2 x 17 x 19.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 646 as shown below:

So, the prime factorization of 646 is, 646 = 2 x 17 x 19.

3. Find factors of 646 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 646 would be the two numbers which, when multiplied, give 646 as the result.

The following table represents the calculation of factors of 646 in pairs:

Factor Pair Pair Factorization
1 and 646 1 x 646 = 646
2 and 323 2 x 323 = 646
17 and 38 17 x 38 = 646
19 and 34 19 x 34 = 646

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 646. They are called negative pair factors.

Hence, the negative pairs of 646 would be ( -1 , -646 ) , ( -2 , -323 ) , ( -17 , -38 ) and ( -19 , -34 ) .

How can we define factors?

In mathematics a factor is a number which divides into another without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 646 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, 17, 19, 34, 38, 323, 646 are exact divisors of 646.
  • 1 is a factor of every number. Eg. 1 is a factor of 646.
  • Every number is a factor of zero (0), since 646 x 0 = 0.

Frequently Asked Questions

  • Which is the smallest prime factor of 646?

    The smallest prime factor of 646 is 2.

  • Is 646 a whole number?

    Yes 646 is a whole number.

  • What are the prime factors of 646?

    The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646.
    Prime factors of 646 are 2, 17, 19.

  • What two numbers make 646?

    Two numbers that make 646 are 2 and 323.

  • What are multiples of 646?

    First five multiples of 646 are 1292, 1938, 2584, 3230.

  • What is the sum of all factors of 646?

    The sum of all factors of 646 is 1080.

  • What are five multiples of 646?

    First five multiples of 646 are 1292, 1938, 2584, 3230, 3876.

  • Is 646 a perfect square?

    No 646 is not a perfect square.

  • What is the greatest prime factors of 646?

    The greatest prime factor of 646 is 19.

Examples of Factors

How many factors are there for 646?

Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 646. Can you predict the answer?

7 factor(s) of 646 are 1, 2, 17, 19, 34, 38, 323.

Sammy is puzzled while calculating the prime factors of 646. Can you help him find them?

Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646.
Prime factors of 646 are 2, 17, 19

What is prime factorization of 646?

Prime factorization of 646 is 2 x 17 x 19 = 2 x 17 x 19.

Ariel has been assigned the task to find the product of all the prime factors of 646. Can you help her?

Prime factors of 646 are 2, 17, 19.
Hence, the product of prime factors of 646.

Can you help Rubel to find out the product of the even factors of 646?

Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646.
Even factors of 646 are 2, 34, 38, 646.
Hence, product of even factors of 646 is; 2 x 34 x 38 x 646 = 1669264.

Joy wants to calculate mean of all the factors of 646. Help him in finding the mean of 646.

Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 646 is 1 + 2 + 17 + 19 + 34 + 38 + 323 + 646 = 1080.
Hence, the mean of factors of 646 is 1080 ÷ 8 = 135.00.