Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

Question

Is there any trick to be able to do this fast?

Al P. · Accepted Answer

The number will need to have a multiple of 3 number of 1's.  Start with 111.111/75 = 1.48   so  11100/75 = 148,  11100 is the least number that has digits 1 and 0 only and is divisible by 75.

Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

What is that product of the next two consecutive even integers?

Find the number of solutions in integers(x,y) of the equation x^2 y^3=6^12

Write any four digit number. Repeat the digits to form a eight digit number(eg.-13571357). Show that two of its prime factors are 73 and 137.

show that the following is an integer

Let p > 3 be a prime, and suppose that p = 3 (mod 4). If q = 2p+1 is also prime show that (2^p) -1 is never prime.

RECOMMENDED TUTORS

IXL

Rosetta Stone

Education.com

TPT

Vocabulary.com

ABCya

SpanishDictionary.com

Inglés.com

Emmersion

Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

1 Expert Answer

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

What is that product of the next two consecutive even integers?

Find the number of solutions in integers(x,y) of the equation x^2 y^3=6^12

Write any four digit number. Repeat the digits to form a eight digit number(eg.-13571357). Show that two of its prime factors are 73 and 137.

show that the following is an integer

Let p > 3 be a prime, and suppose that p = 3 (mod 4). If q = 2p+1 is also prime show that (2^p) -1 is never prime.

RECOMMENDED TUTORS

find an online tutor