What is a product of prime factors?

A product of prime factors is a set of prime numbers that multiply to make the requested number. Essentially, when a question asks you to express a number as a 'product of primes', it wants you to break the number down into purely prime numbers. For example, to break 50 down into a product of primes, we would first break 50 down into 2 x 25: 2 is our first prime number and therefore we do not have to break that down further. 25 is not a prime number and therefore we break that down into 5 x 5 - 5 is a prime number and we have two 5s. The prime numbers we have found are 2, 5 and 5. Therefore 50 as a product of prime factors would be expressed as 2 x 5 x 5, or even better, 2 x 52

DK
Answered by Daniel K. Maths tutor

3453 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If f(x) = x^2, draw the graph of y = f(x) + 3


Solve 3(x-2) = 21


Find the value of x: x^2-3x-3=1


If a train leaves for a 130 mile journey at 1.30pm, and travels at a constant speed of 50 miles per hour, at what time will it arrive?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences