How many numbers less than 100 will have exactly 12 factors?
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How many numbers less than 100 will have exactly 12 factors?
Hence there are 5 two digit numbers having exactly 12 factors – 60,72,84,90,96.
What number has a factor of 12?
So 1, 2, 3, 4, 6 and 12 are factors of 12.
Which number has more than 12 factors?
Factors of 12 = 1, 2, 3, 4, 6 and 12.
How many factors do 1000 have?
Hence, the factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 250, 500 and 1000. Thus, the total number of factors are 16.
What is the smallest number that has exactly 12 factors?
This means that 60, 72, and 84 should be the smallest three numbers with 12 factors.
Which number under 1000 has the most factors?
840
Sanika and Amy both said that the number under 1000 with the most factors is 840 (32 factors).
How do you find the factors of 12?
Factors of 12
- Factors of 12: 1, 2, 3, 4, 6 and 12.
- Negative Factors of 12: -1, -2, -3, -4, -6 and -12.
- Prime Factors of 12: 2, 3.
- Prime Factorization of 12: 2 × 2 × 3 = 22 × 3.
- Sum of Factors of 12: 28.
How many factors does the number 1000 have of 10?
How to Calculate the Factors of 1000?
| Division | Factor |
|---|---|
| 1000 ÷ 10 | Remainder = 0, Factor = 10 |
| 1000 ÷ 20 | Remainder = 0, Factor = 20 |
| 1000 ÷ 25 | Remainder = 0, Factor = 25 |
| 1000 ÷ 40 | Remainder = 0, Factor = 40 |
How many factors of 1000 are there?
Factors of 1000. Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500. There are 15 integers that are factors of 1000.
How many two-digit numbers have exactly 12 factors?
So, there are 5 two digit numbers which have 12 factors. They are 60, 72, 84, 90, 96 Hence there are 5 two digit numbers having exactly 12 factors – 60,72,84,90,96. 8 clever moves when you have $1,000 in the bank.
What is the smallest integer with exactly 1000 factors?
Edit: Since Ishwar posed the question, and since it’s not too difficult to find, the smallest integer with exactly 1000 factors is 810810000 The way to find it is to generate factorizations of 1000 with factors in non-decreasing order (easy to build recursively).
How many two digit numbers can be split 12?
We are given number of factors = 12. => (p + 1)*(q + 1)*(r + 1)…. = 12. So, the possibilities for splitting 12 are 12, 2*6, 3*4, 2*2*3. So, the number could be of the format a^11, a*b^5, a^2*b^3, a*b*c^2. a^11 format – No two digit number possible.