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9 grade maths

What are the prime factors of 102?

Profile image of Aniket Singh
11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To find the prime factors of 102, we start by dividing the number by the smallest prime numbers.

Step-by-Step Factorization

Here’s how the factorization works:

  • 102 is an even number, so we can divide it by 2:
    • 102 ÷ 2 = 51
  • Next, we need to factor 51. The smallest prime number that divides 51 is 3:
    • 51 ÷ 3 = 17
  • Finally, 17 is a prime number itself.

Final Result

The prime factors of 102 are:

  • 2
  • 3
  • 17

So, you can express 102 as the product of its prime factors: 2 × 3 × 17.