Number theory

Answer all the questions below and press submit to see how many you got right.

id: 13604

Which integer $n$ with $0\leq n<15$ satisfies $94\cdot 15+4\equiv n \mod{15}?$

id: 14123

What is the sum of the exponents in the prime factorization of 88200?

id: 14102

What is the prime factorization of 540?

  • $2^23^35^1$
    $2^3+3^4+5^1$
    $2^33^35^1$
    $2^23^45^1$