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What three digit number has the most factors?

Using prime factorization, there are 2 three digit numbers with 9 factors: 512 and 768. There are no three digit numbers with 10 or more prime factors. 512=2^9 and 768=3*2^8


How many 2 digit numbers have even no of factors?

Total number of 2-digit numbers = (99 - 9) = 90 of themEvery number that isn't a perfect square has an even number of factors.2-digit numbers that are perfect squares: 16, 25, 36, 49, 64, and 81 = 6 of themRemaining 2-digit numbers = (99 - 6) = 93 .


How many numbers are there between 100 and 999 in which all three digit numbers are different?

There are 9 possible numbers for the first digit (one of {1, 2, ..., 9}); with 9 possible digits for the second digit (one of {0, 1, 2, ..., 9} which is not the first digit)); with 8 possible digits for the third digit (one of {0, 1, 2, ..., 9} less the 2 digits already chosen); This there are 9 × 9 × 8 = 648 such numbers.


When 151 digits are used to number a book how many pages are there?

First 9 pages = 9 digit. That leaves 142 digits. @ 2 digit per page, that is 142/2 = 71 pages with 2-digit numbers. So, 9 pages with 1-digit numbers + 71 pages with 2-digit numbers = 80 pages.


What are single digit factors of a number?

Well, honey, single digit factors of a number are just the numbers that can divide into that number without leaving a remainder. So, for example, the single digit factors of 12 are 1, 2, 3, 4, and 6. It's like finding out who's invited to the party before you start breaking out the cake.


How many 2-digit numbers contain the digit?

It would help to know which digit. 0 appears in 9 numbers and each of the others in 18 numbers.


Which 2 digit number has exactly 9 factors?

36 has nine factors.


Which two numbers have a 1-digit answer when multiplied and a 2-digit answer when added?

3


How many 2-digit numbers end in 0?

There are 9 of them.


How many 2 digit numbers from 90 to 100?

9


How many three-digit numbers can you make from 0 6 0 9 2 0 1 2?

There are no three didgit numbers but there are 63 three digit numbers.


What is the greatest possible product of a 2 digit and a 1 digit number?

Highest 2-digit number = 99 Highest 1-digit number = 9 Highest possible sum from 2, 2-digit numbers = 198 Highest possible sum from 2, 1-digit numbers = 18