Ggtkuk

Question:

Right now i am working in mini page, the problem is components of mini page are not placed at good place. I want to reduce the space between them and both start from the same line from top (i mean horizontally in same line)

MWE:

documentclass[12pt,a4paper]article
usepackage[a4paper,vmargin=0.5in,hmargin=0.5in]geometry
usepackage[utf8]inputenc
usepackage[misc]ifsym
usepackageamsmath,amsfonts,amssymb,cancel
usepackagearray,booktabs
usepackageforest
usepackageparskip
usepackagetcolorbox
begindocument
beginminipage[t].45textwidth
 beginforest
 for tree=circle,draw, l sep=10pt
 [140,black 
 [2]
 [70
 [2] 
 [35
 [5]
 [7]
 ] 
 ]
 ]
 endforest
endminipage
%hfill
beginminipage[b].55textwidth
 beginalign*
 140 &= 2 times 2 times 5 times 7&\
 &= 2^2 times 5 times 7 
 endalign*
endminipage
enddocument

The reference point for a forest is at the bottom. You can make it at the top so it aligns with a standard line of text with adjustbox and valign=t. For the equation use aligned.

Finally, decide for the spacing between the objects, here quad is used.

documentclass[12pt,a4paper]article
usepackageamsmath
usepackageforest
usepackageadjustbox

begindocument

adjustboxvalign=t%
 beginforest
 for tree=circle,draw, l sep=10pt
 [140,black
 [2]
 [70
 [2]
 [35
 [5]
 [7]
 ]
 ]
 ]
 endforest%
% end of adjustbox (the % next to the brace is important
qquad
$beginaligned[t]
 140 &= 2 times 2 times 5 times 7&\
 &= 2^2 times 5 times 7 
endaligned$

enddocument

With the baseline option, you can vertically align the two parts so that the two instances of 140 are at the same height.

documentclass[12pt,a4paper]article
usepackageamsmath
usepackageforest

begindocument

beginforest baseline, for tree=circle,draw, l sep=10pt
 [140,black
 [2]
 [70
 [2]
 [35
 [5]
 [7]
 ]
 ]
 ]
endforestqquad
$beginaligned[t]
 140 &= 2 times 2 times 5 times 7&\
 &= 2^2 times 5 times 7 
endaligned$

enddocument

For vertical centering,

documentclass[12pt,a4paper]article
usepackageamsmath
usepackageforest
usepackageadjustbox

begindocument

beginadjustboxvalign=c
beginforest baseline=center, for tree=circle,draw, l sep=10pt
 [140,black
 [2]
 [70
 [2]
 [35
 [5]
 [7]
 ]
 ]
 ]
endforest
endadjustboxqquad
$beginaligned
 140 &= 2 times 2 times 5 times 7&\
 &= 2^2 times 5 times 7 
endaligned$

enddocument

If you want to set this inside a math display, omit the $ characters and exploit gathered.

documentclass[12pt,a4paper]article
usepackageamsmath
usepackageforest

begindocument

beginequation*
begingathered
beginforest baseline=center, for tree=circle,draw, l sep=10pt
 [140,black
 [2]
 [70
 [2]
 [35
 [5]
 [7]
 ]
 ]
 ]
endforest
endgatheredqquad
beginaligned
 140 &= 2 times 2 times 5 times 7&\
 &= 2^2 times 5 times 7 
endaligned
endequation*

enddocument

documentclass[12pt,a4paper]article 
usepackage[a4paper,vmargin=0.5in,hmargin=0.5in]geometry 
usepackage[utf8]inputenc 
usepackage[misc]ifsym 
usepackageamsmath,amsfonts,amssymb,cancel 
usepackagearray,booktabs 
usepackageforest 
usepackageparskip 
usepackagetcolorbox 
usepackagevarwidth 
begindocument 
beginvarwidth[t].45textwidth vspace0pt
beginforest for tree=circle,draw, l sep=10pt [140,black [2] [70 
 [2] [35 [5] [7] ]
 ] ] 
endforest 
endvarwidth 
%hfill 
beginvarwidth[t].55textwidth vspace0pt
$ 140 = 2 times 2 times 5 times 7 = 2^2 times 5 times 7 $
endvarwidth 
enddocument