﻿ Listing All the Factors of a Whole Number
LISTING ALL THE FACTORS OF A WHOLE NUMBER
by Dr. Carol JVF Burns (website creator)
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• PRACTICE (online exercises and printable worksheets)
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EXAMPLES:
Question: List all the factors of $\,30\,$:
Answer: $1\,$,$\,30\,$,$\,2\,$,$\,15\,$,$\,3\,$,$\,10\,$,$\,5\,$,$\,6\,$
you must list the factors in the order indicated in the example:
• The factors occur in pairs that multiply together to give $\,30$
• $1\,$ goes into $\,30\,$ evenly, giving the pair $\,1\,$,$\,30\,$.
You must write the smaller number first in each pair.
• $2\,$ goes into $\,30\,$ evenly, giving the pair $\,2\,$,$\,15\,$
• $3\,$ goes into $\,30\,$ evenly, giving the pair $\,3\,$,$\,10\,$
• $4\,$ doesn't go into $\,30\,$ evenly
• $5\,$ goes into $\,30\,$ evenly, giving the pair $\,5\,$,$\,6\,$
• For this example, these are all the factors.
• The numbers must be separated by commas; spaces are optional.
Question: List all the factors of $\,25\,$:
Answer: $1\,$,$\,25\,$,$\,5\,$
Only list the factor $\,5\,$ once.
Master the ideas from this section
Finding the Greatest Common Factor of $\,2\,$ or $\,3\,$ Numbers