zation of and then click

the + sign.

zation of and then click

the + sign.

factors are contained in

.

Every composite factor of a number consists of a product of a subset of the prime factors of that number. For each prime factor, think about the number of choices you have. For example, if you were factoring 60=2^{2}×3×5, there would be

3 choices for the number of 2's: 0, 1, or 2,

2 choices for the number of 3's: 0 or 1, and

2 choices for the number of 5's: 0 or 1,

for a total of 3×2×2 = 12 choices.

We have

2^{0} × 3^{0} × 5^{0} = 1,
2^{0} × 3^{0} × 5^{1} = 5,

2^{1} × 3^{0} × 5^{0} = 2,
2^{0} × 3^{0} × 5^{1} = 10,

2^{2} × 3^{0} × 5^{0} = 4,
2^{0} × 3^{0} × 5^{1} = 20,

2^{0} × 3^{1} × 5^{0} = 3,
2^{0} × 3^{0} × 5^{1} = 15,

2^{1} × 3^{1} × 5^{0} = 6,
2^{0} × 3^{0} × 5^{1} = 30,

2^{2} × 3^{1} × 5^{0} = 12,
2^{0} × 3^{0} × 5^{1} = 60

contained in

.

Click here for a factoring lesson.