# maths

posted by .

in a common coding method each of the letters of the alphabet is replace by the number denoting its usual place in alphabetical order, a bird is then encoded by multiplying the number representing the letter of the word. find an english word that is encoded as 120175?

• maths -

The first step is basically to factor 120175.

The obvious factor to do first is 5. this gives us 5 * 24035

Then factoring another 5 gives us 5 * 5 * 4807

Since 4807 obviously isn't divisible by 5 or 2, try 3.

So keep on trying the next biggest prime number (1,2,3,5,7,11,13,17...) turns out that 4807 is divisible by 11.

This gives us 5 * 5 * 11 * 437

Keep on going and you get

5 * 5 * 11 * 19 * 23

Just checking:

5 * 5 * 11 * 19 * 23 = 120175

Now converting these factors into letters.

You get the available letters EEKSW. this can be rearranged to be WEEKS.

However, remember that 5*5*11*19*23 can also be written as 25*11*19*23, since this also equals 120175.

This means the word could also have KSWY.

But you can't rearrange those letters to make a word.

So therefore the english word encoded as 120175 is WEEKS.

Basically, you factored the number, converted them into letters, and solved the anagram.

## Similar Questions

1. ### language

Please help me in figuring out my worksheet that says to follow directions in the order they are given. 1.Write the word solar. 2.Add the 5th letter of the alphabet to the left of each consonant. 3.Add the 5th consonant of the alphabet …
2. ### Maths

1)A two-figure number is written down at random. Find the probability that a)the number is greater than 44 b)the number is less than 100 2)A letter is picked at random from the english alphabet. Find the probability that a)the letter …
3. ### math

Only one number is spelled in the English language with its letters in alphabetical order. What is the number?
4. ### Algebra

Only one number is spelled in the English language with its letters in alphabetical order. What is the number?
5. ### english

Remove one letter from word#1, and replace it with another letter at the same place to make word #2 and replace it with another letter at the same place to make word #3, and so on until you end up, at word #6 , with an antonym for …
6. ### Listening

I need to find the answer to this riddle. I followed the directions but didn't come up with anything I see that makes sense. Can anyone help please?