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Q: What is 175 as a product of its prime factors in index form?

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648 expressed as a product of its prime factors in index form is 2^3 times 3^4

300

56

72 *23

21

2*7*11

It is: 22*52 = 100

As a product of its prime factors: 5^3 times 13 = 1625

It is: 2^3*7 = 56

No indices are needed because as a product of its prime factors: 3*5*7 = 105

It is form in which a number is expressed as a product of its prime factors. Conventionally, the factors are written in increasing order of magnitude and repeated factors may be represented in index or exponential form.

23 x 112 = 968

24 as a product of its prime factors in index form: 2| 24 === 2| 12 === 2| 6 === .....3 Prime factorization of 24= 2 x 2 x 2 x 3

As a product of its prime factors: 2^3 times 3 times 5^2 = 600

24 x 5 x 72 = 3920

It is: 3*5*7^2 = 735

The prime factors of 45 are 3 and 5.

2^3 x 3 x 11

2^4 x 3 x 5

375 = 3 x 5³

120 = 23 x 3 x 5

9x4 = 32*x4 has (2+1)*(4+1) = 3*5 = 15 different factors. When an expression is written out as the product of its prime factors in index form, the number of factors can be calculated as the product of each index increased by one.

33 = 27

52 = 25

Prime factors of 1080 are 23 33 5.

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