1. Steps to find factors of 637 using Division Method

Example: Find factors of 637

  • Divide 637 by 1: 637 ÷ 1 : Remainder = 0
  • Divide 637 by 7: 637 ÷ 7 : Remainder = 0
  • Divide 637 by 13: 637 ÷ 13 : Remainder = 0
  • Divide 637 by 49: 637 ÷ 49 : Remainder = 0
  • Divide 637 by 91: 637 ÷ 91 : Remainder = 0
  • Divide 637 by 637: 637 ÷ 637 : Remainder = 0

Hence, Factors of 637 are 1, 7, 13, 49, 91, and 637

2. Steps to find factors of 637 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 637 using the division method, follow these steps:

  • Step 1. Start dividing 637 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 637, which is 7. Divide 637 by 7 to obtain the quotient (91).
    637 ÷ 7 = 91
  • Step 3. Repeat step 1 with the obtained quotient (91).
    91 ÷ 7 = 13
    13 ÷ 13 = 1

So, the prime factorization of 637 is, 637 = 7 x 7 x 13.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 637 as shown below:

So, the prime factorization of 637 is, 637 = 7 x 7 x 13.

3. Find factors of 637 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 637 would be the two numbers which, when multiplied, give 637 as the result.

The following table represents the calculation of factors of 637 in pairs:

Factor Pair Pair Factorization
1 and 637 1 x 637 = 637
7 and 91 7 x 91 = 637
13 and 49 13 x 49 = 637

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 637. They are called negative pair factors.

Hence, the negative pairs of 637 would be ( -1 , -637 ) , ( -7 , -91 ) and ( -13 , -49 ) .

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

  • Every factor of a number is an exact divisor of that number, example 1, 7, 13, 49, 91, 637 are exact divisors of 637.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 637 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 637.

Frequently Asked Questions

  • Which is the smallest prime factor of 637?

    The smallest prime factor of 637 is 7.

  • Is 637 a whole number?

    Yes 637 is a whole number.

  • What are the prime factors of 637?

    The factors of 637 are 1, 7, 13, 49, 91, 637.
    Prime factors of 637 are 7, 7, 13.

  • What two numbers make 637?

    Two numbers that make 637 are 7 and 91.

  • What are multiples of 637?

    First five multiples of 637 are 1274, 1911, 2548, 3185.

  • What is the sum of all factors of 637?

    The sum of all factors of 637 is 798.

  • What are five multiples of 637?

    First five multiples of 637 are 1274, 1911, 2548, 3185, 3822.

  • Is 637 a perfect square?

    No 637 is not a perfect square.

  • What is the greatest prime factors of 637?

    The greatest prime factor of 637 is 13.

Examples of Factors

How many factors are there for 637?

Factors of 637 are 1, 7, 13, 49, 91, 637.
So there are in total 6 factors.

Kevin has been asked to write 5 factor(s) of 637. Can you predict the answer?

5 factor(s) of 637 are 1, 7, 13, 49, 91.

Sammy is puzzled while calculating the prime factors of 637. Can you help him find them?

Factors of 637 are 1, 7, 13, 49, 91, 637.
Prime factors of 637 are 7, 7, 13

What is prime factorization of 637?

Prime factorization of 637 is 7 x 7 x 13 = 72 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 637. Can you help her?

Prime factors of 637 are 7, 7, 13.
Hence, the product of prime factors of 91.

Can you help Rubel to find out the product of the even factors of 637?

Factors of 637 are 1, 7, 13, 49, 91, 637.
Even factors of 637 are 0.
Hence, product of even factors of 637 is; 0 = 0.

Joy wants to calculate mean of all the factors of 637. Help him in finding the mean of 637.

Factors of 637 are 1, 7, 13, 49, 91, 637.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 637 is 1 + 7 + 13 + 49 + 91 + 637 = 798.
Hence, the mean of factors of 637 is 798 ÷ 6 = 133.00.