### 14 Divisors

What is the smallest number with exactly 14 divisors?

### Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

### Dozens

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

# Weekly Problem 42 - 2012

##### Stage: 3 Challenge Level:

If the pattern shown is continued, what number will appear directly below $400$?

$1$
$2$   $3$    $4$
$5$    $6$   $7$    $8$    $9$
$10$  $11$  $12$  $13$  $14$  $15$  $16$

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.

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