1. Steps to find factors of 365 using Division Method

Example: Find factors of 365

  • Divide 365 by 1: 365 ÷ 1 : Remainder = 0
  • Divide 365 by 5: 365 ÷ 5 : Remainder = 0
  • Divide 365 by 73: 365 ÷ 73 : Remainder = 0
  • Divide 365 by 365: 365 ÷ 365 : Remainder = 0

Hence, Factors of 365 are 1, 5, 73, and 365

2. Steps to find factors of 365 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 365 using the division method, follow these steps:

  • Step 1. Start dividing 365 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 365, which is 5. Divide 365 by 5 to obtain the quotient (73).
    365 ÷ 5 = 73
  • Step 3. Repeat step 1 with the obtained quotient (73).
    73 ÷ 73 = 1

So, the prime factorization of 365 is, 365 = 5 x 73.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 365 as shown below:

So, the prime factorization of 365 is, 365 = 5 x 73.

3. Find factors of 365 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 365 would be the two numbers which, when multiplied, give 365 as the result.

The following table represents the calculation of factors of 365 in pairs:

Factor Pair Pair Factorization
1 and 365 1 x 365 = 365
5 and 73 5 x 73 = 365

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 365. They are called negative pair factors.

Hence, the negative pairs of 365 would be ( -1 , -365 ) , ( -5 , -73 ) .

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, 73, 365 are exact divisors of 365.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 365 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 365.

Frequently Asked Questions

  • What are the pair factors of 365?

    Pair factors of 365 are (1,365), (5,73).

  • What are five multiples of 365?

    First five multiples of 365 are 730, 1095, 1460, 1825, 2190.

  • What two numbers make 365?

    Two numbers that make 365 are 5 and 73.

  • What is the sum of all factors of 365?

    The sum of all factors of 365 is 444.

  • What are factors of -365?

    Factors of -365 are -1, -5, -73, -365.

  • What are factors of 365?

    Factors of 365 are 1, 5, 73, 365.

  • Is 365 a perfect square?

    No 365 is not a perfect square.

  • Which is the smallest prime factor of 365?

    Smallest prime factor of 365 is 5.

  • Which is greatest factor of 365?

    The greatest factor of 365 is 73.

Examples of Factors

Can you help Sammy find out the product of the odd factors of 365?

Factors of 365 are 1, 5, 73, 365.
Odd factors of 365 are 1, 5, 73, 365.
Hence product of odd factors of 365 is; 1 x 5 x 73 x 365 = 133225.

Joey wants to write all the prime factors of 365 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 365 are 5, 73.
So in exponential form it can be written as 5 x 73.

How many factors are there for 365?

Factors of 365 are 1, 5, 73, 365.
So there are in total 4 factors.

Kevin has been asked to write 3 factor(s) of 365. Can you predict the answer?

3 factor(s) of 365 are 1, 5, 73.

Sammy is puzzled while calculating the prime factors of 365. Can you help him find them?

Factors of 365 are 1, 5, 73, 365.
Prime factors of 365 are 5, 73

What is prime factorization of 365?

Prime factorization of 365 is 5 x 73 = 5 x 73.

Can you help Rubel to find out the product of the even factors of 365?

Factors of 365 are 1, 5, 73, 365.
Even factors of 365 are 0.
Hence, product of even factors of 365 is; 0 = 0.