Can you prime factorize?

Number Theory Level pending

Write the prime factors of this number

1007021035035021007001

The Factors Would of Form a x b y c z { a }^{ x }{ b }^{ y }c^{ z } .

Find a + b + c a + b + c .


The answer is 31.

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1 solution

Pranjal Gupta
Sep 8, 2015

the no is binomial expansion of no 100 1 7 1001^{ 7 }

Moderator note:

This refers to an old version of the problem which asked for a + b × c 2 a + b \times c - 2 .

Why must we have a = 7 , b = 11 , c = 13 a = 7, b = 11, c = 13 ? What can't we have c = 7 , b = 13 , a = 11 c = 7, b = 13, a = 11 ?

i was not able to set level of this problem there was an option but it came disabled please help

Pranjal Gupta - 5 years, 9 months ago

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Could you please give the prime factors in the form a x b y c z a^xb^yc^z

Nehemiah Osei - 5 years, 9 months ago

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that is been edited

Pranjal Gupta - 5 years, 9 months ago

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@Pranjal Gupta Really? I don't see it. Lol...

Nehemiah Osei - 5 years, 9 months ago

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