1. Steps to find factors of 445 using Division Method

Example: Find factors of 445

  • Divide 445 by 1: 445 ÷ 1 : Remainder = 0
  • Divide 445 by 5: 445 ÷ 5 : Remainder = 0
  • Divide 445 by 89: 445 ÷ 89 : Remainder = 0
  • Divide 445 by 445: 445 ÷ 445 : Remainder = 0

Hence, Factors of 445 are 1, 5, 89, and 445

2. Steps to find factors of 445 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 445 using the division method, follow these steps:

  • Step 1. Start dividing 445 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 445, which is 5. Divide 445 by 5 to obtain the quotient (89).
    445 ÷ 5 = 89
  • Step 3. Repeat step 1 with the obtained quotient (89).
    89 ÷ 89 = 1

So, the prime factorization of 445 is, 445 = 5 x 89.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 445 as shown below:

So, the prime factorization of 445 is, 445 = 5 x 89.

3. Find factors of 445 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 445 would be the two numbers which, when multiplied, give 445 as the result.

The following table represents the calculation of factors of 445 in pairs:

Factor Pair Pair Factorization
1 and 445 1 x 445 = 445
5 and 89 5 x 89 = 445

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 445. They are called negative pair factors.

Hence, the negative pairs of 445 would be ( -1 , -445 ) , ( -5 , -89 ) .

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a 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, 5, 89, 445 are exact divisors of 445.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 445 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 445.

Frequently Asked Questions

  • Is 445 a perfect square?

    No 445 is not a perfect square.

  • What are factors of 445?

    Factors of 445 are 1, 5, 89, 445.

  • Which is greatest factor of 445?

    The greatest factor of 445 is 89.

  • What is the sum of all factors of 445?

    The sum of all factors of 445 is 540.

  • What are multiples of 445?

    First five multiples of 445 are 890, 1335, 1780, 2225.

  • What is the greatest prime factors of 445?

    The greatest prime factor of 445 is 89.

  • What are six multiples of 445?

    First five multiples of 445 are 890, 1335, 1780, 2225, 2670, 3115.

  • What is prime factorization of 445?

    Prime factorization of 445 is 5 x 89.

  • Is 445 a whole number?

    Yes 445 is a whole number.

Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 445? Help her in writing all the factors.

Positive factors are 1, 5, 89, 445.
Negative factors are -1, -5, -89, -445.

Can you help Sammy find out the product of the odd factors of 445?

Factors of 445 are 1, 5, 89, 445.
Odd factors of 445 are 1, 5, 89, 445.
Hence product of odd factors of 445 is; 1 x 5 x 89 x 445 = 198025.

Joey wants to write all the prime factors of 445 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 445 are 5, 89.
So in exponential form it can be written as 5 x 89.

How many factors are there for 445?

Factors of 445 are 1, 5, 89, 445.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 445. Can you predict the answer?

3 factor(s) of 445 are 1, 5, 89.

Sammy is puzzled while calculating the prime factors of 445. Can you help him find them?

Factors of 445 are 1, 5, 89, 445.
Prime factors of 445 are 5, 89

What is prime factorization of 445?

Prime factorization of 445 is 5 x 89 = 5 x 89.