Question

find the factors of 4L^2mn

Answer 1

42 factors are 1 '2'6'8

Step-by-step explanation:

there there is no 4 l2mn

Answer 2

The factors are

1, 2, l, m, n, 4, l^2, mn, 2l, 2m, 2n, ml, nl, 4l, 4m, 4n, 2l^2, ml^2, nl^2, mnl, 2mn, 2lm, 2ln, 4l^2, 2ml^2, 2nl^2, 4lm, 4ln, 4mn, 4l^2, l^2mn, 2mnl, 2l^2mn, 4lmn, 4l^2m, 4l^2n, 4l^2mn

Step-by-step explanation:

$4l^2mn=2^2\times l^2\times m\times n$

Total number of factors will be

$(2+1)(2+1)(1+1)(1+1)$

$=3\times 3\times 2\times2$

$=36$

Thus, the factors will be

$1, 2, l, m, n, 4, l^2, mn, 2l, 2m, 2n, ml, nl, 4l, 4m, 4n, 2l^2, ml^2, nl^2,$

$mnl, 2mn, 2lm, 2ln, 4l^2, 2ml^2, 2nl^2, 4lm, 4ln, 4mn, 4l^2, l^2mn,$

$2mnl, 2l^2mn, 4lmn, 4l^2m, 4l^2n, 4l^2mn$

Hope this answer is helpful.

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