Question

how many factors does 400 have​

Answer 1

Answer:

1,2,4,5,8,10,16,20,25,40,50,80,100,200

Step-by-step explanation:

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Answer 2

400 have 15 factors

Solution:

Prime factorize 400

400 = 2 * 200

400 = 2 * 2 * 100

400 = 2 * 2 * 2 * 50

400 = 2 * 2 * 2 * 2 * 25

400 = 2 * 2 * 2 * 2 * 5 * 5

400 = 2⁴.5²

Number of factors = multiplication of 1 added to powers of prime factors of the number

Here power are 4 and 2

Number of factors = (4 + 1)(2 + 1)

= 5(3)

= 15

Factors are

1 , 2 , 4 , 5,  8 , 10 , 16 , 20 , 25 , 40 , 50 , 80  , 100 , 200 , 400

400 have 15 factors