1. Steps to find factors of 469 using Division Method

Example: Find factors of 469

  • Divide 469 by 1: 469 ÷ 1 : Remainder = 0
  • Divide 469 by 7: 469 ÷ 7 : Remainder = 0
  • Divide 469 by 67: 469 ÷ 67 : Remainder = 0
  • Divide 469 by 469: 469 ÷ 469 : Remainder = 0

Hence, Factors of 469 are 1, 7, 67, and 469

2. Steps to find factors of 469 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 469 using the division method, follow these steps:

  • Step 1. Start dividing 469 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 469, which is 7. Divide 469 by 7 to obtain the quotient (67).
    469 ÷ 7 = 67
  • Step 3. Repeat step 1 with the obtained quotient (67).
    67 ÷ 67 = 1

So, the prime factorization of 469 is, 469 = 7 x 67.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 469 as shown below:

So, the prime factorization of 469 is, 469 = 7 x 67.

3. Find factors of 469 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 469 would be the two numbers which, when multiplied, give 469 as the result.

The following table represents the calculation of factors of 469 in pairs:

Factor Pair Pair Factorization
1 and 469 1 x 469 = 469
7 and 67 7 x 67 = 469

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 469. They are called negative pair factors.

Hence, the negative pairs of 469 would be ( -1 , -469 ) , ( -7 , -67 ) .

How can we define factors?

In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.

Properties of factors

  • Every factor of a number is an exact divisor of that number, example 1, 7, 67, 469 are exact divisors of 469.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 469 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 469.

Frequently Asked Questions

  • What are the prime factors of 469?

    The factors of 469 are 1, 7, 67, 469.
    Prime factors of 469 are 7, 67.

  • What is the sum of all factors of 469?

    The sum of all factors of 469 is 544.

  • What are the pair factors of 469?

    Pair factors of 469 are (1,469), (7,67).

  • What two numbers make 469?

    Two numbers that make 469 are 7 and 67.

  • What are multiples of 469?

    First five multiples of 469 are 938, 1407, 1876, 2345.

  • Is 469 a perfect square?

    No 469 is not a perfect square.

  • Which is greatest factor of 469?

    The greatest factor of 469 is 67.

  • How do you factors of 469?

    Factors of 469 are 1, 7, 67, 469.

  • What are five multiples of 469?

    First five multiples of 469 are 938, 1407, 1876, 2345, 2814.

Examples of Factors

Can you help Rubel to find out the product of the even factors of 469?

Factors of 469 are 1, 7, 67, 469.
Even factors of 469 are 0.
Hence, product of even factors of 469 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 469? Help her in writing all the factors.

Positive factors are 1, 7, 67, 469.
Negative factors are -1, -7, -67, -469.

How many factors are there for 469?

Factors of 469 are 1, 7, 67, 469.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 469. Can you help him find them?

Factors of 469 are 1, 7, 67, 469.
Prime factors of 469 are 7, 67

Joey wants to write all the prime factors of 469 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 469 are 7, 67.
So in exponential form it can be written as 7 x 67.

What is prime factorization of 469?

Prime factorization of 469 is 7 x 67 = 7 x 67.

Can you help Rubel to find out the product of the even factors of 469?

Factors of 469 are 1, 7, 67, 469.
Even factors of 469 are 0.
Hence, product of even factors of 469 is; 0 = 0.