Factor A factor of an integer is any integer that divides the given integer with no remainder.

Prime Number A prime number is a natural number greater than one that has exactly two positive factors: one and itself.

Tell whether 237 is divisible by 2, 3, 4, 5, or 6. Exercise 3 3

Tell whether 245 is divisible by 2, 3, 4, 5, or Exercise

Tell whether 10,164 is divisible by 2, 3, 4, 5, or 6. 2, 3, 4, 6 Exercise

Tell whether 111,222 is divisible by 2, 3, 4, 5, or 6. 2, 3, 6 Exercise

State the divisibility test for 9. Does 9 divide the sum of the digits? Exercise

Fundamental Theorem of Arithmetic Every composite integer greater than one can be written as a product of prime factors in exactly one way (though the order of the factors may vary).

Write the prime factorization of 42. Example 1 42 =

Write the prime factorization of = Example 2

Divide out all 2s, then 3s, then 5s, and so on until the quotient is prime.

Write the prime factorization of 90. Example 3

Find the number whose prime factorization is given x 3 Example

Find the number whose prime factorization is given x 3 x 7 Example

Find the number whose prime factorization is given x 7 2 Example

Find the number whose prime factorization is given x 3 2 x 5 2 Example

Write the prime factorization of the number. 2 x 3 2 x Example

Write the prime factorization of the number Example

Write the prime factorization of the number Example

Write the prime factorization of the number Example

Write the prime factorization of the number. 2 3 × Example

Write the prime factorization of the number Example

Solve the equation to find the missing prime factor. s = = s 7 13 Exercise

Solve the equation to find the missing prime factor. n = = 3 5 n Exercise

Solve the equation to find the missing prime factor. c = = 2 c 19 Exercise

Solve the equation to find the missing prime factor. y = = 5 11 y Exercise

Solve the equation to find the missing prime factor. t = = 2 t 17 Exercise

Solve the equation to find the missing prime factor. y = 5 1,235 = y Exercise