Math, asked by pranjanroy92, 7 months ago

sum of all even factors of 64800​

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Answered by grecy2005
4

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Answered by Afreenakbar
1

The sum of the all even factors of 64800 is 236313 by using sum of the even factors is a^{m}\times b^{n}.

Given that,

We have to find the sum of the all even factors of 64800.

We know that,

What is factor?

Writing all numbers as the product of primes is a procedure known as prime factorization. Consider the case of the number 20, for instance. We can divide that into two elements. Well, that's four times five, we can say. Furthermore, 5 is a prime number.

So,

The sum of the even factors is a^{m}\times b^{n}

Which is (a⁰+a¹+a²+.....a^{m})×(b⁰+b¹+b²+.....b^{m})

Factor of 64800 = 2⁵×3⁴×5²

=(2⁰+2¹+2²+2³+2⁴+2⁵)×(3⁰+3¹+3²+3³+3⁴)×(5⁰+5¹+5²)

=63×121×31

=236313

Therefore, The sum of the all even factors of 64800 is 236313 by using sum of the even factors is a^{m}\times b^{n}.

To learn more about factor visit:

https://brainly.in/question/9426948

https://brainly.in/question/49135457

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