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How many positive integer below 10000 are there such that the product of its digits is equal to 210?
Wiki User
∙ 12y ago
54
The prime factorization of 210 is 2,3,5,7
So, any number which uses exactly those numbers will work. To find the number of combinations a set of items can make (like the number of numbers 4 digits can make) multiply the number of items (digits) by one less, then again, then again until you get to 1.
Number of digits: 4 (2,3,5, and 7)
So, 4*3*2*1=24
Now, because 2*3=6 is less than 10, a number that uses 6 instead of 2 and 3 will also work.
Number of digits: 3 (5,6, and 7)
So, 3*2*1=6
Last step, numbers below 10000 can have 4 digits, so the last step has to be redone after adding 1 as a digit.
Number of digits: 4 (1, 5, 6, and 7)
So, 4*3*2*1=24
Add those together: 24+6+24=54 (I checked with Excel and it is right)
Wiki User
∙ 12y ago
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What is the least 5-digit number?
Well it would depend... If it was an integer, it would technically be -10000, (since a negative is less than a positive). But if it didn't matter whether it was negative or positive (just the absolute value), it would be 0.0001 - granted the number didn't have to be an integer.
What are the first 475 digits of Pi?
Check out the Joy of Pi link, for the first 10000 digits.
How many digits are there in the numbers 1-10000?
10001
What is the smallest five digit number you can form with the digits 0 1 2 3 and 4 if repetition of digits is allowed?
It is 10000.
What is a 5-digits number with a 1 in the ten-thousands place?
4
How many positive 4 digit are there?
Let me first re-phrase your question: What is the number of (positive) integers less than 10000 (5 digits) and greater than 999 (3 digits)? The greatest 4 digit integer would be 9999. The greatest 3 digit integer would be 999. Let's do some subtraction: 9999 - 999 = 9000 This works because as we count up from 999, each positive integer encountered satisfies your requirements until reaching 10000.
What is a prime number less than 10000 and the product of its digits is zero?
Any prime number that has 0 as one of its digits, such as 101, 103, 107 or 109.
What number less than 10000 has the most factors?
0, since every integer is a factor of 0.However, if the answer must be a positive integer, then 7560 has 64 factors (including 1 and itself).
How many positive odd integers less than 10000 can be written using the digits 3 4 6 8 and 0?
125
What is the least 5-digit number?
Well it would depend... If it was an integer, it would technically be -10000, (since a negative is less than a positive). But if it didn't matter whether it was negative or positive (just the absolute value), it would be 0.0001 - granted the number didn't have to be an integer.
What is the smallest 5 digit number with 2 digits alike?
It is 10000.If you meant ONLY 2 digits alike, then it is 10023.
How many digits are in ten thousand?
There are 5 digits in the number 10000.
Is 10000 divisible by three?
No. If a number is divisible by three, the sum of its digits will be divisible by three. Obviously, the sum of the digits of 10000 is 1, and 1 is not divisible by 3, so 10000 is not divisible by 3.
Where would the decimal be placed in 10000 km?
Nowhere. 10000 is an integer and requires no decimal number.
What is the multiples of 10000?
They are members of an infinite set of numbers of the form 10000*k where k is an integer.
What are the first 475 digits of Pi?
Check out the Joy of Pi link, for the first 10000 digits.
What number is after 10000?
The next integer or whole number is 10001
