# number theory

Popular questions-
## Number Theory

Express $3.\overline{4}_{13}$ as a base 10 fraction in reduced form.

*asked by Mr. Alexander on March 9, 2016* -
## Number Theory

What is $1000000_{16} - 8D6A7B_{16}$ in base 16? (You do not need to include the subscript 16 in your answer.)

*asked by Mr. Alexander on March 9, 2016* -
## Number Theory

Find a base 7 three-digit number which has its digits reversed when expressed in base 9. (You do not need to indicate the base with a subscript for this answer.)

*asked by Mr. Alexander on March 9, 2016* -
## number theory

give an example to show that a^2 congruent to b^2 mod n need not imply that a congruent to b mod n.

*asked by Laura on April 18, 2009* -
## number theory

The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C are all divisible by 9

*asked by unowen on July 26, 2017* -
## Number theory

What is the remainder when 2^50 is divided by 7

*asked by joy on July 11, 2017* -
## number theory

If you wrote down at all whole numbers from 1 to 1000... 1,2,3,4,5....999,1000 ...which digit would appear the least?

*asked by unowen on July 6, 2017* -
## Number Theory

Find some integers having 10 divisors.

*asked by Gie on June 29, 2017* -
## Number theory

Express 550 in the scale of 6.

*asked by Len on June 28, 2017* -
## Number theory

express 1645 in the scale of 2

*asked by Len on June 28, 2017* -
## Number theory

Express 550 in the scale of 2

*asked by Len on June 28, 2017* -
## Number theory

Prove the divisibility criteria for 9, 11, and 17.

*asked by Len on June 28, 2017* -
## Number theory

Express 550 and 1645 in the scale of 2, 5, 6, and 9.

*asked by Len on June 28, 2017* -
## Number Theory

Find the solution to 4X + 7 =2 (mod15)

*asked by Phyllis on January 4, 2017* -
## number theory

Let a and b be integers (not necessarily positive). Prove that (a^3 + 5b^3) not equal to 2016.

*asked by Dip on October 6, 2016* -
## number theory

If the value of x+1/x=2 then what is the value of x^2014+1/x^2016

*asked by sai krishna on August 18, 2016* -
## number theory

If the value of x+1/x=2 then what is the value of x^2014+1/x^2016

*asked by sai krishna on August 17, 2016* -
## number theory

If x+1/x =2 ,then x^2014+1/x^2016=?

*asked by sai krishna on August 17, 2016* -
## number theory

For what value of k ,(2009)(2010)k is a perfect square.

*asked by sai krishna on August 17, 2016* -
## Number Theory

A monic polynomial f(x) of degree four satisfies f(1)=10, f(2)=20, and f(3)=30. Determine f(12)+f(−8)−19000.

*asked by Abhishek Ranjan on June 10, 2013* -
## Number Theory

x is a real number satisfying the equation |x−20|+12=x. What is the value of x?

*asked by David Kroell on April 29, 2013* -
## Number Theory

Yan was opening a new restaurant, so she went to the sign store to get letters to make a sign to hang above the storefront. When she got to the sign store, the only letters they had in stock were two copies of the letter 'X,' two copies of the letter 'E,'

*asked by Lily on April 1, 2013* -
## number theory

According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with DAB = x, and ABC = 90◦, andAD = BC. Say the perpendicular bisector toDC meets the

*asked by kay on January 30, 2013* -
## number theory

Find the remainder when 1!+2!+...+299!+300! is divided by 21

*asked by john on August 1, 2012* -
## number theory

Find the remainder when 1!+2!+...+299!+300! is divided by 21

*asked by john on August 1, 2012* -
## number theory

Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11

*asked by john on August 1, 2012* -
## Number Theory

Can someone help me with this question How many integers from 1 to 10000 inclusive, are multiples of 2 and 5?

*asked by Tay on May 2, 2010* -
## Number Theory

How Do you expand (4x+3y+3z)^6?

*asked by Tay on May 2, 2010* -
## NUMBER THEORY

WHAT MULTIPLECATION OUT OF 1-12 HAS 33 IN IT?

*asked by ALEXXUS CAREY on December 14, 2009* -
## Number Theory

What characteristic do the numbers 8, 10, 15, 26, and 33 have that the numbers 5, 9, 16, 18, and 24 don’t have? (Hint: List the factors of the numbers.) Give two more numbers that have this characteristic.

*asked by Carol on September 25, 2009* -
## number theory

How do you prove that any palindrome, a number that reads the same backwards and forwards, with an even number of digits is divisible by 11? I know how to show a number is divisible by 11, but how do you prove the above case?

*asked by Laura on April 19, 2009* -
## number theory

How might you go about proving that N-M is divisible by 9 when N represents an integer (such as 6923) and M represents that integer in reverse order (such as 3296)? so far, I have shown that 6923-3296=3627 is divisible by 9 by the sum of the digits, but

*asked by Laura on April 19, 2009*