Can p-value tells which variable is the major factor to the outcome? - p-value

Question

I have trouble dealing with one of the task in this data from kaggle: to find the major factor in test outcomes, the factors are all categorical.
Can p-value in stats.chi2_contingency() tells which variable has the greatest impact on each test outcomes?(lower p-value indicates that there is stronger relationship between two variables, factor and test outcome)
Is it the right method to use? Thanks!!
sub = ['math', 'reading', 'writing']
factors = list(df.columns[:5])
for x in sub:
for y in factors:
subject = np.where(df[f'{x} score']>=60, 1, 0) #score above 60 means good.
obseved = pd.crosstab(index = df[f'{y}'], columns=subject)
p_value = stats.chi2_contingency(observed=obseved)[1]
print(f'Subject: {x}, Factor: {y}, P-value: {p_value}')
print('===========')
result:
Subject: math, Factor: gender, P-value: 4.327453315859715e-07
Subject: math, Factor: race/ethnicity, P-value: 8.606440583769172e-09
Subject: math, Factor: parental level of education, P-value: 1.3038966941106568e-06
Subject: math, Factor: lunch, P-value: 7.991906038402147e-23
Subject: math, Factor: test preparation course, P-value: 0.03659940205943433
===========
Subject: reading, Factor: gender, P-value: 0.00021136247670793947
Subject: reading, Factor: race/ethnicity, P-value: 0.0013115634444564267
Subject: reading, Factor: parental level of education, P-value: 0.00040600676669462395
Subject: reading, Factor: lunch, P-value: 8.774296142015978e-11
Subject: reading, Factor: test preparation course, P-value: 3.060148315231233e-10
===========
Subject: writing, Factor: gender, P-value: 6.85909966324548e-08
Subject: writing, Factor: race/ethnicity, P-value: 0.00117283769110293
Subject: writing, Factor: parental level of education, P-value: 8.278387435600882e-05
Subject: writing, Factor: lunch, P-value: 1.5790148042752678e-16
Subject: writing, Factor: test preparation course, P-value: 4.553365478101716e-15
===========
right way to test which variable has the most impact on outcome.