Photo AI

Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Question 2

Express 56 as the product of its prime factors.

Worked Solution & Example Answer:Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Step 1

Step 1: Find the Prime Factors of 56

96%

114 rated

Answer

To express 56 as the product of its prime factors, we begin by dividing 56 by the smallest prime number, which is 2.

When we divide:

$56 \, \div \, 2 = 28$

Next, we continue factoring 28:

$28 \, \div \, 2 = 14$

We factor again:

$14 \, \div \, 2 = 7$

Since 7 is a prime number, we stop here.

Step 2

Step 2: Write the Final Result

99%

104 rated

Answer

Now that we have identified all prime factors, we express 56 as:

$56 = 2^3 \times 7$

This indicates that 56 can be represented as the product of its prime factors, consisting of three 2s and one 7.

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

Other GCSE Maths topics to explore

Number Toolkit

Maths - Edexcel

Prime Factors, HCF & LCM

Maths - Edexcel

Powers, Roots & Standard Form

Maths - Edexcel

Simple & Compound Interest, Growth & Decay

Maths - Edexcel

Fractions, Decimals & Percentages

Maths - Edexcel

Rounding, Estimation & Bounds

Maths - Edexcel

Surds

Maths - Edexcel

Algebraic Roots & Indices

Maths - Edexcel

Expanding Brackets

Maths - Edexcel

Factorising

Maths - Edexcel

Completing the Square

Maths - Edexcel

Algebraic Fractions

Maths - Edexcel

Rearranging Formulae

Maths - Edexcel

Algebraic Proof

Maths - Edexcel

Linear Equations

Maths - Edexcel

Solving Quadratic Equations

Maths - Edexcel

Simultaneous Equations

Maths - Edexcel

Iteration

Maths - Edexcel

Forming & Solving Equations

Maths - Edexcel

Functions

Maths - Edexcel

Coordinate Geometry

Maths - Edexcel

Estimating Gradients & Areas under Graphs

Maths - Edexcel

Real-Life Graphs

Maths - Edexcel

Transformations of Graphs

Maths - Edexcel

Sequences

Maths - Edexcel

Direct & Inverse Proportion

Maths - Edexcel

Standard & Compound Units

Maths - Edexcel

Exchange Rates & Best Buys

Maths - Edexcel

Geometry Toolkit

Maths - Edexcel

Angles in Polygons & Parallel Lines

Maths - Edexcel

Bearings, Scale Drawing, Constructions & Loci

Maths - Edexcel

Area & Perimeter

Maths - Edexcel

Right-Angled Triangles - Pythagoras & Trigonometry

Maths - Edexcel

Sine, Cosine Rule & Area of Triangles

Maths - Edexcel

Vectors

Maths - Edexcel

Transformations

Maths - Edexcel

Scatter Graphs & Correlation

Maths - Edexcel

Statistics

Maths - Edexcel

Ratio Analysis and Problem Solving

Maths - Edexcel

Inequalities

Maths - Edexcel

Volume, Area & Surface Area

Maths - Edexcel

The Circle

Maths - Edexcel

Probability

Maths - Edexcel

Trigonometry

Maths - Edexcel

Growth & Decay

Maths - Edexcel

Outliers

Maths - Edexcel

Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Worked Solution & Example Answer:Express 56 as the product of its prime factors. - Edexcel - GCSE Maths - Question 2 - 2017 - Paper 1

Step 1: Find the Prime Factors of 56

Step 2: Write the Final Result

Join the GCSE students using SimpleStudy...

Other GCSE Maths topics to explore