If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
The factor pairs of 210 are: 1 and 210, 2 and 105, 3 and 70, 5 and 42, 6 and 35, 7 and 30, 10 and 21, and 14 and 15. The factor pairs of 63 are: 1 and 63, 3 and 21, and 7 and 9.
The factors of 231 are 1,3,7,11,21,33,77 and 231 The factors of 210 are 1,2,3,5,6,7,10,14,15,21,30,35,42,70,105 and 210 The common factors are therefore 1,3,7 and 21
(63,1)(21,3)(9,7)
If you know the prime factorization of a number, you can find out the total number of factors. Example: 210 2^1 x 3^1 x 5^1 x 7^1 = 210 Add one to the exponents and multiply them. 2 x 2 x 2 x 2 = 16, the total number of factors.
All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
The factors of 6 are: 1, 2, 3, and 6.They all go into 210 evenly. In other words, all of them are 'factors' of 210.
The factor pairs of 210 are: 1 and 210, 2 and 105, 3 and 70, 5 and 42, 6 and 35, 7 and 30, 10 and 21, and 14 and 15. The factor pairs of 63 are: 1 and 63, 3 and 21, and 7 and 9.
All Factors of 210:1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
The factor pairs of 210 are: 1 and 210 2 and 105 3 and 70 5 and 42 6 and 35 7 and 30 10 and 21 14 and 15
A factor string is a multiplication sentence. The smallest are the factor pairs, the largest is the prime factorization. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210. And the longest factor string.
21,1 and 7,3
The factors of 231 are 1,3,7,11,21,33,77 and 231 The factors of 210 are 1,2,3,5,6,7,10,14,15,21,30,35,42,70,105 and 210 The common factors are therefore 1,3,7 and 21
If all the factors are prime numbers and they total the original number, you have found them all. All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.
(63,1)(21,3)(9,7)
1,18 2,9 3,6