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justinepark
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Having trouble with this problem, appreciate help.
Excluding 1 and itself, how many factors does the number 19 x 29 x 59 x 79 have?
Excluding 1 and itself, how many factors does the number 19 x 29 x 59 x 79 have?
justinepark said:Having trouble with this problem, appreciate help.
Excluding 1 and itself, how many factors does the number 19 x 29 x 59 x 79 have?
justinepark said:Having trouble with this problem, appreciate help.
Excluding 1 and itself, how many factors does the number 19 x 29 x 59 x 79 have?
kaliprasad said:the number $19 *29 *59 * 79$ is product of 4 primes and for each factor there is choice of 2 for each prime so 2^4 ot 16 factors as per How to Find How Many Factors Are in a Number: 4 Steps
to illustrate the factors are
1 $19^0*29^0*59^0*79^0$ or 1
2 $19^1*29^0*59^0*79^0$ or 19
3 $19^0*29^1*59^0*79^0$ or 29
4 $19^1*29^1*59^0*79^0$ or 19 * 29
5 $19^0*29^0*59^1*79^0$ or 59
6 $19^1*29^0*59^1*79^0$ or 19 * 59
7 $19^0*29^1*59^1*79^0$ or 29 * 59
8 $19^1*29^1*59^1*79^0$ or 19 * 29 * 79
and 8 product of the above combinations and 79
if one has to exclude 1and itself then 14 factors
To find the factors of a number that is a product of multiple prime numbers, you can use the prime factorization method. This involves breaking down the number into its prime factors and then finding all the possible combinations of these factors to get the factors of the original number.
Prime numbers are numbers that are only divisible by 1 and themselves. They have no other factors. Examples of prime numbers include 2, 3, 5, 7, 11, 13, etc.
If a number is a product of four prime numbers, it will have 16 factors. This is because each prime number will have 2 factors (itself and 1), and the total number of factors will be the product of the number of factors for each prime number (2 x 2 x 2 x 2 = 16).
No, a number cannot have an odd number of factors. This is because factors always come in pairs. For example, the factors of 8 are 1, 2, 4, and 8. These factors can be paired as (1,8) and (2,4), making a total of 4 factors.
Factors are numbers that divide evenly into a given number, while multiples are numbers that are the result of multiplying a given number by a whole number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, while the multiples of 12 are 12, 24, 36, 48, etc.