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there are about 1,265 school districts in the state of texas that generate an equivalent expression using prime factorization for the number 1,265

pls, help whoever answers first gets brainliest!!

Respuesta :

mhanifa

Answer:

  • 1265 = 5*11*23

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Find prime factors of 1265.

We see it is divisible by 5 since ends with 5:

  • 1265/5 = 253

253 is not divisible by 3 or 9 since the sum of digits is not divisible by 3 or 9. It is not divisible by 7 (since 25 - 3*2 = 19 is not divisible by 7) but divisible by 11, since the sum of digits in odd places is same as the digit in the even place (recall divisibility by 11):

  • 253/11 = 23

23 is a prime number so no more factors.

Hence the prime factorization of 1265 is:

  • 1265 = 5*11*23

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