Sum of very first 31 odd element numbers provides a perfect square. In this chapter, us will find out to calculation the components of 31, prime components of 31, and also factors that 31 in pairs along with solved examples and interactive questions for a far better understanding.

You are watching: What is the factor of 31

Factors of 31: 1 and 31Prime administer of 31: 31 = 311
1.What are the components of 31?
2.How to calculate the factors of 31?
3.Factors that 31 by element Factorization
4.Factors the 31 in Pairs
5.FAQs on factors of 31

What room the factors of 31?

Factors the 31 are the numbers which, as soon as multiplied together, result in 31. The factors of 31 are 1 and 31. 31 is prime as its divisible through 1 and chin only.


Tips and Tricks:

1 is the smallest variable of every number.Every number has a minimum of 2 factors, i.e., 1 and the number itself.All the odd number never have actually 2 as one of their factors.

How to calculate the determinants of 31?

Step 1: compose down the number to be factored, i.e., 31.Step 2: uncover the 2 numbers who product provides 31.

31 × 1 = 31The other feasible product is 1 × 31 = 31. Hence, it have the right to only it is in factored as 1 and the number itself.


Hence, the factors that 31 are 1 and 31.

Explore components using illustrations and also interactive examples.

Factors that 31 by element Factorization

If the determinants of a number space prime numbers, then the factors are claimed to be prime factors. Prime administrate is the procedure of writing a number together a product that its element factors. The aspect tree listed below shows that there is only one prime factor of 31.

The procedure is to division the provided number through prime determinants until the quotient is 1. We obtain the factors of 31 by prime factorization making use of the complying with steps:

Step 1: compose the pair of factors, i m sorry on multiplication gives the compelled number. 31 can be factored as a product the 1 and 31.Step 2: See the factors, even if it is each one of them is element or not. Here, 31 is a prime number and cannot be factored more while 1 is neither a prime nor a composite number.Step 3: Now we find that the prime factorization the 31 is 31. The prime element of 31 is 31.

Important Notes:

Factors of any number room all the feasible numbers that is divisible by. They might be prime numbers or composite numbers.Prime numbers have actually only 2 factors, i.e., 1 and itself.Factors are never fractions or decimals.Factors have the right to be negative.

Factors of 31 in Pairs

The factors of 31 in pairs are (1, 31) and (-1, -31).

FactorsFactors of 31 in pairs
1 × 31 = 311, 31
-1 × -31 = 31-1, -31

Think Tank:

What are the typical factors between a element number and also a composite number?What room the typical factors between a prime number and another element number? Can you uncover all the number having precisely one factor?Is there any counting number having actually no aspect at all?

Example 2: Kate is baking tarts which space to it is in placed in the same packages because that a food carnival. She needs to pack lock in such a method that every package consists of one each of the two species of tarts she has actually baked. She makes 62 almond and also buckwheat tarts and also 31 brown butter to apologize tarts. What is the highest number of such packages that have the right to she pack the tarts into? 


We recognize that she has to make packages that encompass one every of the two species of tarts she has baked. Hence, we require to uncover the usual number the divides both the numbers, 31 and 62.

See more: Which Of The Following Is Not A Characteristic That All Fungi Share?

Here, 31 and 1 are the usual factors and 31 is the greatest common factor. Thus, Kate will certainly pack 31 packages which include both the species of tarts. She will have 1 brown butter apple tart and also 2 almond and also buckwheat tarts in each of the 31 packages. Hence, Kate will pack the tarts in 31 packages.