Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

What are all the factor pairs of 192?

Answer
VerifiedVerified
386.4k+ views
like imagedislike image
Hint: In this question, we need to find the factor pairs of 192. So, we will find out the prime factors of the given number using the prime factorisation method and then find all the factor pairs by multiplying the prime factors with each other.

Complete step-by step answer:
Here, we need to find the factor pairs of 192.
We know that 192 is a composite number.
So, we will first find out all the prime factors of the number using the prime factorization. So, we get,
2|1922|962|482|242|122|63|3
So, the prime factorisation of the number 192 is: 2×2×2×2×2×2×3
=26×31
Now, we will find the possible factor pairs of the number 192 by multiplying the prime factors with each other.
Therefore, the possible factors of 192 are: 192, 96, 64, 48, 32, 24, 16,12, 8, 6, 4, 3, 2, 1.
Hence, the factor pairs of 192 are: 192×1, 96×2, 48×4, 24×8, 12×16, 6×32,3×64.

Note:
Prime factorization is a method of finding prime numbers which multiply to make the original number. A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. In prime factorization, we start dividing the number by the first prime number 2 and continue to divide by 2 until we get a decimal or remainder. Then divide by 3,5,7,....etc. until we get the remainder 1 with the factors as prime numbers. Then write the numbers as a product of prime numbers.
Latest Vedantu courses for you
Grade 10 | MAHARASHTRABOARD | SCHOOL | English
Vedantu 10 Maharashtra Pro Lite (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for MAHARASHTRABOARD students
PhysicsPhysics
BiologyBiology
ChemistryChemistry
MathsMaths
₹36,600 (9% Off)
₹33,300 per year
Select and buy
WhatsApp Banner