### Home > CC1 > Chapter 4 > Lesson 4.1.3 > Problem4-36

4-36.

Find the prime factorization for each number below. Homework Help ✎

1. $36$

The first few prime numbers are: 2, 3, 5, 7, 11, and 13.

Start by dividing the number with the lowest prime number.
36 ÷ 2 = 18

Now divide 18 by another prime number, and continue until the number is no longer divisible.

$2^{2}\cdot 3^{2}$

2. $45$

See part (a).

3. Find the greatest common factor for 36 and 45.

Write out the factors for 36 and 45.
36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
45: 1, 3, 5, 9, 15, and 45.

Which common factor is the greatest?

4. Find the least common multiple for 36 and 45.

Write out the multiples for 36 and 45.
It has been started below.

36: 36, 72, 108...
45: 45, 90, 135...