Factors that 56 are all together numbers that fully divide the number 56 and when multiplied in pairs give the product together 56. These factors of 56 are positive numbers yet can be an unfavorable as well. The number 56 is an even composite number, which way that it has actually several factors. In this lesson, we will certainly calculate the components of 56, prime factors of 56, and factors of 56 in pairs in addition to solved instances for a much better understanding.

You are watching: What are the prime factors of 56

Factors that 56: 1, 2, 4, 7, 8, 14, 28 and also 56Prime Factorization of 56: 56 = 23 × 7
1.What room the components of 56?
2.How come Calculate factors of 56?
3.Factors that 56 by prime Factorization
4.Factors the 56 in Pairs
5.FAQs on components of 56

What room the factors of 56?

The components of 56 are integers that divide 56 without any kind of remainder. Because that example, 8 is a variable of 56 due to the fact that 8 divides 56 without any kind of remainder. Interestingly, 7, i m sorry is the quotient of the over division, is likewise a aspect of 56.Check even if it is you acquire 0 as the remainder by separating 56 by 8 using long division.

 

*

To understand the concept of finding components by element factorization better, let united state take a couple of more examples.


The steps to uncover the components of any number:

Divide the number by 2 and get an additional number. If the result number is no an integer, then round it to the nearest integer. Divide the provided number by every of the numbers from 1 come the resultant number (from action 1) and see which of them outcomes in the remainder 0. We divide just by these numbers as any number that is higher than fifty percent of a given number can not be the factor. The divisor of each such department (with remainder 0) is the determinants of the number. Also, the provided number is also a element of itself.

Finding the factors of 56

Divide 56 by 2, we obtain 28. Divide 56 by every of the numbers from 1 to 28 and see which of castle would provide the remainder 0. The divisors of every such departments are the factors. Also, 56 is a element of itself. Thus, 1,2,4,7,8,14,28 and also 56 are the determinants of 56.

*


Fractions and also decimals that space not integers can not be the determinants of any kind of numberWhen a number is a aspect of the offered number, climate its additive station is likewise a aspect of the provided number.For example, because 8 is a aspect of 56, -8 is likewise a aspect of 56.

Let us discover the element factorization of 56 by express it as the product of element numbers.

So the element factorization of 56 is 2 × 2 × 2 × 7.From the element factorization that 56, it is clear the 2 and 7 are the factors of 56. In fact, 2 and 7 space the prime factors of 56. Also, we know that 1 is a variable of every number. Thus, The factors of 56 by element factorization are 1, 2, 4, 7, 8, 14, 28, and also 56.


While finding the components of a number keep the adhering to in mind:

1 and the number chin are constantly the determinants of a number.To discover the other determinants of the number, we an initial find its prime factorization. Then, the multiplicands that the element factorization space the prime factors of the number.By multiplying some or all multiplicands in different combinations, we gain the composite determinants of the number.

The pair components of 56 are derived by creating 56 together a product of 2 numbers in all feasible ways.

In each product, both multiplicands are the components of 56.

Product that results in 56

Pair factors of 56

1 x 56

(1, 56)

2 x 28

(2, 28)

4 x 14

(4, 14)

7 x 8

(7, 8)

The an unfavorable pair components of 56 space (-1, -56), (-2, -28), (-4, -14), and also (-7, -8).


Example 1 Evelyn is a course teacher and also her course has 56 students. She desires to division her course into groups and give them groupwise math practice. In how countless ways have the right to she group 56 students so that:

A group cannot have actually 1 or every students of the class.

Each group has one equal variety of students.

Solution

We currently learned that the components of 56 room 1, 2, 4, 7, 8, 14, 28, and 56. But the groups cannot have one or all students. Therefore we neglect 1 and 56. The other components of 56 are 2, 4, 7, 8, 14, and 28 (which room 6 in number).Thus,the required variety of ways = 6


Example 2 when Jamie is inquiry to find the prime factorization the 56 in his exam, he did that in the following way and answered that the element factorization the 56 is 2 × 7. However, his teacher marked it wrong. Can we help Jamie by showing him the correct means to calculate prime factorization?

Solution

Prime factorization provided by Jamie is = 2 × 7It is no correct. Permit us shot factor tree technique to uncover prime factorization of 56.

Thus, the prime factorization the 56 is 23 × 7.


View an ext >

go come slidego to slide


*


Breakdown tough principles through straightforward visuals.

See more: X^2 Times X^2 - Laws Of Exponents


Math will no longer be a tough subject, particularly when you understand the concepts through visualizations.