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Home Q & A Board Science-Related Homework Help Mathematics
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leshawn leshawn
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10 years ago
The numbers 35
and 77 are two of the factors. What is the
sum of the digits of N?
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#1
10 years ago
The existence of 35 as a factor means that both 5 and 7 must also be factors.

The existence of 77 as a factor means that both 7 and 11 must also be factors.

Since 5 and 11 occur in our list of factors, 55 must also be a factor.

So far, our list of factors would be:

1, 5, 7, 11, 35, 55, 77, and N itself.

In order not to introduce even more factors, N must be equal to the least common multiple of all the factors so far discovered.

LCM = 5 * 7 * 11 = 385

3 + 8 + 5 = 16
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