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### This Is a Certified Answer

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There are a total of

They are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 20

**divisors of 600 , including 1 and 600.**__24__They are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 20

__0, 300 and 600.__### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

We can do this in some other ways other than listing the all factors.

1. First find square root (600) = 24.5 There are always as many factors less

than square root as more than it. The factors less than 24.5 are :

1,2,3,4,5,6,8,10,12,15,20,24.

there are 12 of them. so above 24.5 ther are 12.

so total number of factors = 24

2. 600 = 2^3 * 3^1 * 5^2

A factor is formed by selecting one 2 or two 2s or three 2s or no 2s. Also by selecting no 3s or one 3. finally, no 5 may be chosen, 1 or two 5s may be chosen to form a factor.

so number ways of forming a factor = 4 * 2 * 3 = 24

so 24 factors.

1. First find square root (600) = 24.5 There are always as many factors less

than square root as more than it. The factors less than 24.5 are :

1,2,3,4,5,6,8,10,12,15,20,24.

there are 12 of them. so above 24.5 ther are 12.

so total number of factors = 24

2. 600 = 2^3 * 3^1 * 5^2

A factor is formed by selecting one 2 or two 2s or three 2s or no 2s. Also by selecting no 3s or one 3. finally, no 5 may be chosen, 1 or two 5s may be chosen to form a factor.

so number ways of forming a factor = 4 * 2 * 3 = 24

so 24 factors.