Find the Number with Prime Factors 5, 7, and 5: Mathematical Challenge

What is the number whose prime factors are: 5,7,5 5,7,5

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Step-by-step video solution

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00:00 Find the number with the given prime factors
00:03 To find the number, multiply all factors one by one
00:08 Calculate one multiplication at a time and continue
00:13 Break down 35 into 30 plus 5, and multiply accordingly
00:30 Calculate the multiplications
00:35 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

What is the number whose prime factors are: 5,7,5 5,7,5

2

Step-by-step solution

To solve this problem, we'll multiply the given prime factors 5,7, 5, 7, and 5 5 to determine the original number.

  • Step 1: Multiply the prime factors together: (5×5)×7(5 \times 5) \times 7.
  • Step 2: Calculate 5×55 \times 5, which equals 2525.
  • Step 3: Multiply the result by the remaining prime factor: 25×7=17525 \times 7 = 175.

Therefore, the solution to the problem is 175 175 .

3

Final Answer

175 175

Practice Quiz

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Write all the factors of the following number: \( 5 \)

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