Did you know that ~ above average, kids smile 400 time a day? 400 is a composite number and also is a perfect square. In this brief lesson, we are going come learn around the components of 400 and also the different ways to discover them. We will certainly explore an ext about the prime determinants of 400, components of 60, determinants of 400 in pairs, and the element factorization of 400 utilizing interactive examples. 

Factors of 400:1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200Prime administer of 400: 2 × 2 × 2 × 2 × 5 × 5 
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You are watching: What is the prime factorization of 400

What space the determinants of 400?
2.How to calculate the determinants of 400?
3.Factors of 400 by prime Factorization
4.Factors the 400 in Pairs 
5.FAQs on factors of 400

What room the determinants of 400?


The factor that a number is a number that divides the completely, i.e., without leaving any remainder. The number 400 is an even composite number. Factors of 400 are every the integers the 400 can be separated into. We can likewise say that determinants of 400 are the numbers which, when multiplied together, result in 400.

 400 = 1 × 400 400 = 2 × 200 400 = 4 × 100 400 = 5 × 80 400 = 8 × 50 400 =10 × 40 400 = 16 × 25 400 = 20 × 20 

Explore components using illustrations and also interactive examples.


How to calculate the determinants of 400


400 ÷ 1 = 400 and also the remainder is 0.400 ÷ 2 = 200 and also the remainder is 0.Proceeding in a comparable manner we gain all the determinants of 400 as 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200 and 400. 

Factors that 400 by prime Factorization


Prime factorization method expressing a composite number as the product the its prime factors.

To gain the element factorization that 400, we division it by its the smallest prime factor, i m sorry is 2. 400÷ 2 = 200Now, 200 is separated by its smallest prime factor and the quotient is obtained. 200÷ 2 = 100This process goes top top till we acquire the quotient as 1. The prime factorization the 400 is presented below:

 

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Let united state express 400 in terms of the product of its prime factors with the aid of the factor tree obtained. 400= 2 × 2 × 2 × 2 × 5 × 5 = 24 × 52.. Now that we have actually done the element factorization of our number, we have the right to multiply them and get the other feasible composite factors.


Think Tank


Can a number higher than 400 be the factor?What is the value of 25 ?

Factors of 400 in Pairs

The pair of numbers which gives 288 as soon as multiplied is known as a element pair of 288. Complying with are the factors of 288 in pairs.

The unique factor bag of 400 are (1,400), (2,200), (4,100), (5, 80), (8, 50), (10,40), (16,25), and (20,20).


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The negative factor bag of 400 are (-1,-400), (-2,-200), (-4,-100), (-5, -80), (-8, -50), (-10,-40), (-16,-25), and (-20,-20).


Important Notes


As 400 is an even number, it will have actually 2 as its factor.Only composite numbers deserve to have much more than two factors.Factors that 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400.

Factors that 400 Solved Examples


Example 1: Jonathan was asked to perform the factors of 100 and also 400 and find the common factors between them.

Can you help him perform it?

Solution:

Factors the 100 room 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Factors of 400 room 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400.

We can see that 1, 2, 4, 5, 10, 20, 25, 50, and 100 space the usual factors that 100 and also 400.


Example 2: Rachel wants to calculate the sum of all the components of 400. Can you help her?

Solution:

We recognize that the factors of 400 room 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and 400.

Thus, the sum of all the factors = 1 + 2+ 4 + 5+ 8+ 10+ 16+ 20+ 25+ 40+ 50+ 80+ 100 + 200 + 400 = 961


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FAQs on factors of 400


What room the factors of 400?

The components of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, and also 400.

Is 400 a perfect square?

A perfect square is a number that is the product that two very same numbers.

20 × 20 = 400

Therefore, 400 is a perfect square.

See more: What Is 4 5 Of 35 - Please Show Me How You Got The Answer

What space the components of 200?

The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 200.