Tuesday

October 21, 2014

October 21, 2014

Posted by **Stephanie** on Thursday, September 27, 2007 at 10:54pm.

?Suppose a, b, and c are integers such that a divides b and b divides c. Prove that a divides c.

- Advanced Math -
**drwls**, Friday, September 28, 2007 at 3:38pmIf b is an integer factor of b, and b is an integer factor of x, then

b = ma and c = nb, where m and n are both integers.

It follows that c = m n a. Since m and n are both integers, so is mn. Therefore a is an integer factor of c, or, in other words, "a divides c".

**Answer this Question**

**Related Questions**

math analysis - Disprove: For every integer a, if 8 divides a, then 6 divides a...

maths --plse help me.. - Let a,b,c be positive integers such that a divides b^2...

urgent -plsee - Let a,b,c be positive integers such that a divides b^2 , b ...

maths --plse help me.. - Let a,b,c be positive integers such that a divides b^2...

maths - Let a,b,c be positive integers such that a divides b^2 , b divides c^2 ...

maths - Let a,b,c be positive integers such that a divides b^2 , b divides c^2 ...

DISCRETE MATHS - We need to show that 4 divides 1-n2 whenever n is an odd ...

la sallle - There are 3 consecutive even integers such that the quotient ...

math induction - prove the product of 4 consecutive integers is always divisible...

Maths - Find the number of pairs of non-negative integers (n,m), such that 1&#...