What's a multiple of 4? What does that mean?

Question

Aurora Arias · Accepted Answer

A multiple of #4# is any number which can be written in the form #4n# where #n# is an integer.

In general, given two values #a# and #b#, we say that #b# is a multiple of #a# if #b=na# for some integer #n#. For example, #-4, 0, 4, 12,# and #100# are all multiples of #4# because #-4 = 4xx-1# #0 = 4 xx 0# #4 = 4xx1# #12 = 4xx3# #100 = 4xx25# On the other hand, values such as #1# or #10# are not multiples of #4#, as #1 = 4xx1/4# #10 = 4xx5/2# #1/4# and #5/2# are not integers. It is generally correct to state that #b# is a multiple of #a# if #b/a# is an integer, although this requires #a!=0#. Intuitively, it makes sense to call these values multiples, as they are the values which can be obtained by adding or subtracting your original value multiple times. A multiple of #4# is a number which can be written as #4+4+4+...+4# or #4-4-4-...-4#. Note that this is equivalent to the above definitions.

Riley Anderson · Answer

undefined A multiple of 4 is any number that can be evenly divided by 4 without leaving a remainder. In other words, if you divide a multiple of 4 by 4, the result will be a whole number without any fraction or decimal part. For example, 4, 8, 12, 16, and 20 are all multiples of 4 because they can be divided by 4 evenly.