Question #239632

Find the prime factorization of the integers 1234, 10140, and 36000


1
Expert's answer
2021-09-21T02:17:57-0400

Consider the following integers:

1234,10140, and 36000


The objective is to find the prime factorization of the above-mentioned integers.

Recall that a positive integer can be uniquely expressed as the product of prime numbers.


The prime factorization of the given number is as follows:

1234=2×61710140=2×2×3×5×13×13=22×3×5×13236000=2×2×2×2×2×3×3×5×5×5=25×32×531234= 2\times617 \\ 10140= 2\times2\times3\times5\times13\times13=2^2\times3\times5\times13^2 \\ 36000=2\times2\times2\times2\times2\times3\times3\times5\times5\times5=2^5\times3^2\times5^3


Therefore, the prime factorization of the given integers are

1234=2×61710140=22×3×5×13236000=25×32×531234= 2\times617 \\ 10140=2^2\times3\times5\times13^2 \\ 36000=2^5\times3^2\times5^3


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS