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27 votes
27 votes
5) Determine the factors of 48. Rewrite this as a product

its factors using exponents. (factor tree)

User Fizor
by
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1 Answer

15 votes
15 votes

Answer:

2⁴·3

Explanation:

You want the factors of 48 written as a product using exponents.

Factor tree

Using divisibility rules, you can make a list of factors of 48.

Even numbers are divisible by 2, so we have ...

48 ÷ 2 = 24

24 ÷ 2 = 12

12 ÷ 2 = 6

6 ÷ 2 = 3 . . . . 3 is prime, so no more factors

The factors are seen to be ...

2 × 2 × 2 × 2 × 3

An exponent is used to signify repeated multiplication, so this product can be written as ...

48 = 2⁴ × 3

User YoniChechik
by
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