1. Steps to find factors of 67 using Division Method

Example: Find factors of 67

  • Divide 67 by 1: 67 ÷ 1 : Remainder = 0
  • Divide 67 by 67: 67 ÷ 67 : Remainder = 0

Hence, Factors of 67 are 1 and 67

2. Steps to find factors of 67 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 67 using the division method, follow these steps:

  • Step 1. Start dividing 67 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 67, which is 67. Divide 67 by 67 to obtain the quotient (1).
    67 ÷ 67 = 1
  • Step 3. Repeat step 1 with the obtained quotient (1).

So, the prime factorization of 67 is, 67 = 67.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 67 as shown below:

So, the prime factorization of 67 is, 67 = 67.

3. Find factors of 67 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 67 would be the two numbers which, when multiplied, give 67 as the result.

The following table represents the calculation of factors of 67 in pairs:

Factor Pair Pair Factorization
1 and 67 1 x 67 = 67

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 67. They are called negative pair factors.

Hence, the negative pairs of 67 would be ( -1 , -67 ) , .

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 number is a factor of zero (0), since 67 x 0 = 0.
  • 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, 67 are exact divisors of 67.
  • Factors of 67 are 1, 67. Each factor divides 67 without leaving a remainder.

Frequently Asked Questions

  • Is 67 a perfect square?

    No 67 is not a perfect square.

  • What are factors of 67?

    Factors of 67 are 1, 67.

  • Which is greatest factor of 67?

    The greatest factor of 67 is 1.

  • What is the sum of all factors of 67?

    The sum of all factors of 67 is 68.

  • What are multiples of 67?

    First five multiples of 67 are 134, 201, 268, 335.

  • What is the greatest prime factors of 67?

    The greatest prime factor of 67 is 67.

  • What are six multiples of 67?

    First five multiples of 67 are 134, 201, 268, 335, 402, 469.

  • What is prime factorization of 67?

    Prime factorization of 67 is 67.

  • Is 67 a whole number?

    Yes 67 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 67? Help her in writing all the factors.

Positive factors are 1, 67.
Negative factors are -1, -67.

Can you help Sammy find out the product of the odd factors of 67?

Factors of 67 are 1, 67.
Odd factors of 67 are 1, 67.
Hence product of odd factors of 67 is; 1 x 67 = 67.

Joey wants to write all the prime factors of 67 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 67 are 67.
So in exponential form it can be written as 67.

How many factors are there for 67?

Factors of 67 are 1, 67.
So there are in total 2 factors.

Kevin has been asked to write 1 factor(s) of 67. Can you predict the answer?

1 factor(s) of 67 is 1.

Sammy is puzzled while calculating the prime factors of 67. Can you help him find them?

Factors of 67 are 1, 67.
Prime factors of 67 are 67

What is prime factorization of 67?

Prime factorization of 67 is 67 = 67.