Math and Arithmetic

# How many three digit integers have 3 factors?

**We need you to answer this question!**

###### If you know the answer to this question, please register to join our limited beta program and start the conversation right now!

## Related Questions

###### Asked in Math and Arithmetic, Algebra

### How many 2-digit positive integers are there such that product of their two digit is 24?

The first step in this is identifying the factors of 24. They
are:
1,2,3,4,6,8,12 and 24
The only single digit pairs are 4x6 and 3x8. Because we're
working with a 2 digit positive integer, we are limited to using
these pairs. Thus there are 4 2-digit positive integers with a
digit product of 24. They are:
46, 64, 38 and 83.

###### Asked in Math and Arithmetic, Statistics, Algebra

### How many triple digit numbers are there?

there are 999 - 100 + 1 = 900 positive triple digit positive
integers, between 100 and 999.
(e.g. there are 102 - 100 + 1 = 3 triple digit integers between 100
and 102,
namely 100, 101 and 102.)
multiply that by 2 to take in consideration of the negative
integers,
you have 1800 triple digit integers.

###### Asked in Math and Arithmetic, Algebra, Numbers

### How many 3 digit numbers have even no of factors?

878 three digit numbers have an even number of factors.
Every factor of a number has a pair, so there ought to be an
even number of factors for every number. However, if a pair of the
factors are the same number, then there will be an odd number of
factors, that is if the number is a perfect square.
Assuming three digit numbers are 100 to 999:
From 100 to 999, the perfect squares are 102 = 100 to 312 = 961,
a total of 31-10+1 = 22 numbers.
So of the 999-100+1 = 900 three digit numbers, 22 have an odd
number of factors, so 900-22 = 878 have an even number of
factors.

###### Asked in Math and Arithmetic, Statistics, Algebra

### How many positive four digit integers have 1 as their first digit and 2 or 5 as their last digit?

There are 200 positive four digit integers that have 1 as their
first digit and 2 or 5 as their last digit.
There are 9000 positive four digit numbers, 1000 through 9999.
1000 of them have 1 as the first digit, 1000 through 1999. 200 of
them have 2 or 5 as their last digit, 1002, 1005, 1012, 1015, ...
1992, and 1995.