# Math - Check this Answer

1. Mom- Age 58 Middle Daughter – Age 4

2. Mom- Age 58

2x29= 58 or 58/2= 29, so the prime factorization is 29

Middle daughter- Age 4

22 or 2x2= 4, so the prime factorization is 2

Self- Age 32

25 or 2x2x2x2x2 or 32/2 =16, 16/2=8, 8/2=4, 4/2=2; thus 2 is the prime factorization

3. Lowest Common Multiple (LCM)

Taking all three original numbers (58,4,and 32) and dividing them by 2 is how I arrived at my answer of 928, which is the least common whole number amongst all three.

58, 116, 174, 232, 290,348,406,464,522,580, 696,...928 (58x16=928)

4,8,12,16,20,24,28,32,36,40,44, 48,52,56,…232…928 (4x232=928)

32, 64,96,128,160,192, 224, 256, 288, 320,352, …928 (32x29=928)

4. Greatest Common Factors (GCF)

All of these numbers are divisible by 2; I simply arrived at this answer by multiplying by all original numbers starting with one in order to find the highest number that they had in common without creating a decimal.

Factors for 58- 1, 2, 29, 58

Factors for 4- 1, 2, 4

Factors for 32- 1, 2, 4, 8, 16, 32