| These numbers have the property that the sum of the numbers digits is equal to the sum of the digits in its prime factorisation. |
| As a result new algorithms for solving problems can turn difficult mathematical problems, such as factorisation, into easy ones, making traditional key breaking simpler. |
| Hurwitz published a paper on a factorisation theory for integer quaternions in 1896 and applied it to the problem of representing an integer as the sum of four squares. |
| Many secondary mathematics teachers find it a challenge to teach factorisation of quadratic expressions to students who have weak foundations in algebra. |
| Example 3 is a problem-solving exercise in which factorisation is involved. |
