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So there are five integers between 1 & 10,000 that have 21 factors. What are the Factors of 1000. Factors of 1000 =1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. Distinct Factors of 1000 = 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000, Note: Factors of 1000 and Distinct factors are the same. We should have a number whose prime factorization is “diverse” (different primes) and has as many numbers at the same time.
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Yotta. Y. 1024. Zeta. Z. 1021.
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Now, take 2 ∗ 3 ∗ 5 ∗ 7 ∗ 11. That product is 2310, which is above 1000. Now, let’s remove that 11.
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Examples: 8 = 23 factors: 1, 2, 4, 8 9 = 32 factos: 1, 3, 9 16 = 24 factors: 1, 2, 4, 8, 16 49 = 72 factors: 1, 7, 49 The number of factors is 1 more than the exponent on the prime number in the
1000 and 2000, and all the multiples of 20, and all the multiples of 25, and then see how many numbers are common to all three lists. The multiples of 20: 1000, 1020, 1040, …, 2000. The multiples of 25: 1000, 1025, 1050, …, 2000. The multiples of 15 are hard! Hmm. What does it mean for a number to be a multiple of 15? 3 and 5. So I want the
Thus, the factors of 10 are 1, 2, 5 and 10.
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Here are the factors (not including negatives), and some multiples, for 1 to 100:
It is impossible to be a factor of 1000, but not of 10000. All of the factors of 1000 are also factors of 10000. 10 and 10000 are a factor pair of 100000 since 10 x 10000= 100000 .
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Factors of 10 are 1, 2, 5, 10. So, 10 can be derived from smaller number in 2 possible ways using multiplication. View this answer. There are nine different whole number factors of 100.
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5, 1, 5, 5. 6, 1, 2, 3, 6, 2 x 3. 7, 1, 7, 7. 8, 1, 2, 4, 8, 2 x 2 x 2.