what is a prime factorization of 10?
311463
10 is a composite number. 10 = 1 x 10 or 2 x 5. Factors of 10: 1, 2, 5, 10. Prime factorization: 10 = 2 x 5.
575551
The prime factorization of 170 is 2, 5, and 7. With even numbers, we usually begin extracting prime factors beginning with the number 2.
737850
['The prime factorization of 9 is: 3 x 3.', 'The prime factorization of 49 is: 7 x 7.', 'The prime factors and multiplicities 9 and 49 have in common are: 1.', '1 is the gcf of 9 and 49.', 'gcf(9,49) = 1.']
880307
We found the factors and prime factorization of 3 and 10. The biggest common factor number is the GCF number. So the greatest common factor 3 and 10 is 1.
167804
The prime factorization of 30 is: 2 x 3 x 5. The prime factors and multiplicities 5 and 30 have in common are: 5. 5 is the gcf of 5 and 30. gcf(5,30) = 5.
1343533
['The prime factorization of 49 is: 7 x 7.', 'The prime factorization of 100 is: 2 x 2 x 5 x 5.', 'The prime factors and multiplicities 49 and 100 have in common are: 1.', '1 is the gcf of 49 and 100.', 'gcf(49,100) = 1.']
787469
The prime factorization of 36 is: 2 x 2 x 3 x 3. The prime factorization of 60 is: 2 x 2 x 3 x 5. Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(36,36) = 180.
3602
The prime factorization of 12 is: 2 x 2 x 3. The prime factors and multiplicities 11 and 12 have in common are: 1. 1 is the gcf of 11 and 12. gcf(11,12) = 1.
168881
20 is a composite number. 20 = 1 x 20, 2 x 10, or 4 x 5. Factors of 20: 1, 2, 4, 5, 10, 20. Prime factorization: 20 = 2 x 2 x 5, which can also be written 20 = 2² x 5.
322165
30 is a composite number. 30 = 1 x 30, 2 x 15, 3 x 10, or 5 x 6. Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30. Prime factorization: 30 = 2 x 3 x 5.
775266
The prime factorization of 20 is: 2 x 2 x 5. The prime factors and multiplicities 8 and 20 have in common are: 2 x 2. 2 x 2 is the gcf of 8 and 20. gcf(8,20) = 4.
106915
The first few primes in order are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. Write the unique factors by writing the exponents only up until the zeros start repeating. So 100 = 2 x 2 x 5 x 5 can be written as 2 0 2 and 147 = 3 x 7 x 7 can be written as 0 1 0 2. Written this way each factorization is unique.
320291
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80. Prime factorization: 80 = 2 x 2 x 2 x 2 x 5 which can also be written 80 = 2⁴ x 5.
508416
Factors of 44: 1, 2, 4, 11, 22, 44. Prime factorization: 44 = 2 x 2 x 11, which can also be written 2² x 11.
853634
['The prime factorization of 30 is: 2 x 3 x 5.', 'The prime factorization of 77 is: 7 x 11.', 'The prime factors and multiplicities 30 and 77 have in common are: 1.', '1 is the gcf of 30 and 77.', 'gcf(30,77) = 1.']
360706
99 = 1 x 99, 3 x 33, or 9 x 11. Factors of 99: 1, 3, 9, 11, 33, 99. Prime factorization: 99 = 3 x 3 x 11, which can also be written 99 = 3² x 11.
229308
Prime factorization is the breaking down of a number into the prime numbers that multiply to the original number. For example, the prime factorization of 12 is 2 * 2 * 3. We can add exponents when we have the same prime number occurring more than once. So, the prime factorization of 12 can also be written as 22 * 3.