Number Theory Homework Help
Step-by-step AI solutions. Ask your own question →
Number Theory Questions
Convert the following numbers to base 10: a) 3425 b) 23204 c) 101.112 d) 13.236
View Solution
Convert the following numbers bases to base 10: a) 3425 b) 23204 c) 101112 d) 13.236
View Solution
What is the probability of selecting a number that is (m) even, (q) a multiple of 2, (n) odd, (p) prime, (r) composite,…
View Solution
A polynomial ax3 - bx2 - cx + 3 is divisible byx2 - 1. If 2x-3 is a factor, Find the values of a, b and c
View Solution
Find the first five multiples of the following numbers: b) 4, 8, 12, c) 6, 12, 18, d) 5, 10, 15,
View Solution
Circle the multiples of 7. 14, 15, 33, 81, 25, 30, 71, 49, 50. Circle the multiples of 5.
View Solution
Find all the factors of 18. State which of these factors are even numbers. State which of these factors are prime number…
View Solution
A sportsman named Kibet won ksh 1,200,000 in a marathon. write the amount in index form with base 10?
View Solution
The following sets are finite. a. The set of factors of 200. b. The set of whole numbers less than one million. c. The s…
View Solution
Find the HCF of the following by prime-factorisation method: (i) 36, 60 (ii) 45, 85 (iii) 16, 40 (iv) 24, 80 (v) 30, 48…
View Solution
Write 100 as a product of its primes. Simplify the fraction 84/96. Write 5/8 as a decimal fraction correct to two decima…
View Solution
Find the LCM of 24 and 28, 25 and 50, 32 and 24. Also find the LCM for 25 and 50.
View Solution
A die is rolled. Calculate the probability that it will give (a) a five (b) a score less than 3 (c) an even number (d) a…
View Solution
Use factor method to evaluate the expression below, leaving your answer of a product of its prime factors in power form:…
View SolutionAbout Number Theory
Number theory is the study of whole numbers: what divides what, which numbers are prime, what remainders do, and how numbers behave in bases other than ten. In school it is where prime factorisation, HCF and LCM, divisibility tests and modular arithmetic live, and it is unusually rewarding because most questions can be checked by hand once the answer is found.
Popular Topics in Number Theory
Prime Factorisation
Expressing a number as a product of primes, factor trees, and reading HCF and LCM off the factorisations.
HCF & LCM
Highest common factor and lowest common multiple, and the word problems (bells, taps, tiles) that hide one of them.
Divisibility
Tests for 2, 3, 4, 5, 6, 8, 9 and 11, proving divisibility, and finding what to add or subtract to make a number divisible.
Factors & Multiples
Listing factors, counting them, perfect squares, and the difference between a factor and a multiple.
Number Bases
Converting between base ten and bases two, five, eight and sixteen, and arithmetic performed inside a base.
Modular Arithmetic
Remainders, congruence, multiplication tables in a modulus, and repeating patterns of powers.
Primes & Composites
Identifying primes, the sieve of Eratosthenes, twin primes, and why 1 is neither prime nor composite.
Sequences of Integers
Triangular and square numbers, the Fibonacci sequence, and finding a rule from a pattern of terms.
How ScanSolve Helps with Number Theory
ScanSolve shows the factor tree or the division algorithm rather than jumping to an answer, so an HCF or LCM question ends with working you can verify. For base conversions the place values are written out — 3425 in base five is 3x125 + 4x25 + 2x5 + 5 — which is what makes the method transferable to any base.
Remainder and divisibility questions are answered with the rule named and applied, and where a proof is wanted ("show that 7^n - 1 is divisible by 6") the induction or factorisation is set out in full. Every answer can be checked by multiplying back, and the check is included.
Study Tips for Number Theory
Learn the divisibility tests for 3, 4, 8, 9 and 11. They turn a long division into a glance.
For HCF and LCM, write both numbers as products of primes first. After that, HCF takes the lowest power of each shared prime and LCM the highest.
In base arithmetic, write the place values above the digits. Confusion in base questions is almost always about place value, not arithmetic.
Check your answer by reversing the operation: multiply the factors back, or convert your base answer to base ten and compare.
Get Number Theory Help on WhatsApp
Send a photo of your number theory homework and get step-by-step solutions instantly. No app download needed.
Message Us on WhatsAppFrequently Asked Number Theory Questions
How can ScanSolve help with Number Theory homework?
ScanSolve's AI solves number theory problems step by step. Snap a photo of your homework or type your question to get instant, detailed solutions with clear explanations.
Is Number Theory homework help free on ScanSolve?
Yes, ScanSolve offers free number theory homework help with step-by-step solutions. Upgrade to Pro at $89.99/year (about $7.50/month) or $9.99/week for unlimited answers and priority support.
What Number Theory topics does ScanSolve cover?
ScanSolve covers all number theory topics including Prime Factorisation, HCF & LCM, Divisibility, Factors & Multiples, Number Bases. Upload any number theory problem and get a step-by-step solution.
Can ScanSolve solve number theory problems from a photo?
Yes. Take a photo of your number theory homework and ScanSolve's AI will read the problem, identify the method needed, and provide a complete step-by-step solution.
How accurate are ScanSolve's number theory solutions?
ScanSolve uses advanced AI to deliver accurate, step-by-step number theory solutions. Each answer includes detailed explanations so you can verify the reasoning and learn the method.
More in Maths
Explore More Subjects
Have a Number Theory question?
Get an instant AI-powered step-by-step solution in seconds.