Problem preview
MF.NS.5 Warmup MF-005-A01-V01

Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.

List all factors of a number

Problem

List all positive factors of \(36\) from least to greatest.

Big Picture

What this problem is really about

To list every factor without omissions, we’ll search for whole-number pairs whose product is thirty-six. We’ll test possible small factors in order, record both members of each successful pair, and stop when the pairs begin repeating. Sorting the distinct numbers gives the complete factor list.

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Four variants of this problem type
Curriculum context
Standard
MF.NS.5
Category
Number Sense
Domain
Whole-Number Structure
Objective
Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Problem type
List all factors of a number