Question

Find four prime numbers whose product with 29 gives 292929

Answer 1

Answer:

Try to eliminate the numbers one by one from the given set.

On a careful observation, you will find that this ‘big’number is not disible by 3,4,5.

So,Those numbers in the set which are divisible by 3/4/5 will be eliminated.because the ‘big’ number is not divisible by 3/4/5.

STEP 1)Apply the divisibility test of 3.

So, 33 & 63 are eliminated.

STEP 2) Apply the divisibility test of 4.

Now, 44 & 52 are eliminated.

STEP 3)Apply the divisibility test of 5.

Now, 85 & 75 are eliminated.

So,at the end the remaining numbers are:-

22,29,37 & 59.

Thus required 4 numbers are obtained.

Verify the answer by multiplying all of them.

22*29*37*59=1,392,754.

Hope it's may help you!!!