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The required number is 48; its factors are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
When a number is expressed in its prime factorisation in power format, the number of factors of the number is the product of the power of each prime plus one, ie if n = p1^r1 × p2^r2 × ... × pm^rm, then the number of factors is given by Π(ri + 1) for i = 1, 2, ..., m.
10 can be factorised as 1 × 10 or 2 × 5.
In the first case, it would require a prime to the power 9; the smallest prime is 2 and 2^9 = 512 which exceeds 50.
Thus the only possibility is 2 × 5 which means the number is made up of 2 primes, one to the power 1 and the other to the power 4. The solution is likely to contain the two smallest primes which are 2 and 3, but which way to assign the powers. 3^4 = 81 which exceeds 50, so the choice left is 2^4 × 3^1 = 48 - the required solution.
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∙ 8y ago
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What number less than 50 has the most factors?
48 has 10 factors, the most factors of any number under 50.
Which even number less than 100 has an odd number of factors and the digits of this number make up 10?
64
What number is 10 less than 5?
10 less than 5
What number is as much more than 10 is less than one half of what 30 is 10 less than?
The number that 30 is ten less than is 40. Half that is 20. So the question becomes "what number is as much more than 10 is less than 20". This is gobbledygook, but if I rephrase to say "what number is as much more than 10 than 10 is less than 20", then since10 is less than 20 by 10, I guess 20.
10 less than a number?
N-10
What number less than 19 has more than 4 factors?
There are a few numbers that are less than 19 and have more than 4 factors. The number 10 is less than 19 and has more than four factors.
What number less than 50 has the most factors?
48 has 10 factors, the most factors of any number under 50.
Why is 10 composite number?
Because it is divisible by the prime number 2, which is less than 10.
Which even number less than 100 has an odd number of factors and the digits of this number make up 10?
64
What is a prime number factor of 42 less than 10 factor of 70?
2 and 7 are prime numbers less than 10 that are factors of 42 and 70.
What are all the composite number less than 16 that have 4 factors?
They are: 6, 8, 10 and 15 all of which have 4 factors
Is 10 a abundant numbER AND why?
Ten is not abundant because the sum of its proper factors is less than itself.
Which number less than 10 are factors of 24?
1, 2, 3, 4, 6 and 8
What is a number that has 3 prime foctors less than 10 but more than 100?
It's not clear whether you want the factors to be less than 10 and more than 100, or the number. But it doesn't make any difference. Either way, there's no answer to that question, because nothing can be less than 10 and more than 100.
What number is less than 10?
9 is less than 10.
What is an even number less than 100 it has an odd numbers of factors and the sum of the two digits that make up the number is 10?
64
What number is 10 less than 5?
10 less than 5
