Find the Unique Number: Prime Factors 13, 2, 3, and 5

What is the number whose prime factors are: 13,2,3,5 13,2,3,5

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Step-by-step video solution

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00:00 Find the number with the given prime factors
00:05 To find the number, multiply all factors together
00:10 Use the commutative property to arrange it for easier solving
00:16 Calculate one multiplication at a time and continue
00:26 Break down 13 into 10 plus 3, and multiply accordingly
00:39 Calculate the multiplications
00:48 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What is the number whose prime factors are: 13,2,3,5 13,2,3,5

2

Step-by-step solution

To find the original number from its prime factors, we need to calculate the product of the given prime numbers.

Given prime factors: 13,2,3, and 5 13, 2, 3, \text{ and } 5 .

Calculate the product:

  • First, multiply 2 2 and 3 3 :
  • 2×3=6\quad 2 \times 3 = 6
  • Next, multiply the result by 5 5 :
  • 6×5=30\quad 6 \times 5 = 30
  • Finally, multiply the result by 13 13 :
  • 30×13=390\quad 30 \times 13 = 390

Thus, the number whose prime factors are 13,2,3, 13, 2, 3, and 5 5 is 390 \mathbf{390} .

The correct choice from the given options is : 390\mathbf{390}

3

Final Answer

390 390

Practice Quiz

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

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