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damaskus [11]
3 years ago
11

What is the Prime factorization of 104? Explain.

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0
104 equals two to the power of three times thirteen
telo118 [61]3 years ago
4 0
The Prime Factorization of 104 is 2^3*13.
Let's start by drawing a factor tree. We ask ourselves: What is 104 divided by 2? So we put 2 on one side and 52 on the other. We circle the 2 since it is a prime number and then we ask ourselves once again, what is 52 divided by 2? We put 2 on one side and 26 on the other. We ask ourselves again what 26 divided by  is. We put 2 on one side and 13 on the other. SO, we get 2^3*13.
HOPE I HELPED LOVE! <3
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Step-by-step explanation:

Nice summary problem.

<AEC

  • AEC = 360 - 243.5 = 116.5    
  • The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.

<EAD and <ECD

Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.

<EAD = <ECD = 90 degrees

<ABC

<ABC is 1/2 the central angle. The Central angle is <AEC

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There are 2 ways of doing this. You should know both of them.

<em><u>One</u></em>

All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC

  • <ADC + 90 + 90 + 116.5 = 360     Add the four angles together.
  • <ADC + 296.5 = 360                   Combine terms on the left
  • <ADC = 360 - 296.5                    Subtract 238.25 from both sides
  • <ADC = 63.5                                 Answer

<em><u>Method Two</u></em>

<ADC = 1/2 (major Arc - Minor Arc)  This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.

  • <ADC = 1/2(243.5 - 116.5)
  • <ADC = 1/2(127)
  • <ADC = 63.5
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