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The odd natural number which is mentioned as X is 175.

Step-by-step explanation:

  • By prime Factorization method .
  • Step 1  : The prime factor for 40 is = 2×2×2×5.
  • Step 2 :The prime factor for 1400 is = 2×2×2×5×5×7.
  • Step 3 : the prime factor for the unknown  natural odd number is to be find by comparing the factors of 40 and 1400.
  • Step 4 : Lcm is known as least common multiple.
  • Step 5 : Thus we can see  the 5×5×7 in 1400 as different factors from the factors of 40.
  • Step 6 : So lets multiply the factors we get number 175 which satisfies the condition of the odd number.
  • Step 7 :  The prime factors of 175 are 5×5×7.

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