Question

which numbers are factors of 3? choose all that apply
1
3
which numbers are factors of 9? choose all that apply.
1
2
3
4
5
6
7
8
9
10

Explanation:

Step1: Recall factor definition

A factor of a number \( n \) is an integer that divides \( n \) without leaving a remainder.

Step2: Check each number for 9

• For \( 1 \): \( 9\div1 = 9 \), remainder \( 0 \), so \( 1 \) is a factor.
• For \( 2 \): \( 9\div2 = 4.5 \), not an integer, so \( 2 \) is not a factor.
• For \( 3 \): \( 9\div3 = 3 \), remainder \( 0 \), so \( 3 \) is a factor.
• For \( 4 \): \( 9\div4 = 2.25 \), not an integer, so \( 4 \) is not a factor.
• For \( 5 \): \( 9\div5 = 1.8 \), not an integer, so \( 5 \) is not a factor.
• For \( 6 \): \( 9\div6 = 1.5 \), not an integer, so \( 6 \) is not a factor.
• For \( 7 \): \( 9\div7\approx1.2857 \), not an integer, so \( 7 \) is not a factor.
• For \( 8 \): \( 9\div8 = 1.125 \), not an integer, so \( 8 \) is not a factor.
• For \( 9 \): \( 9\div9 = 1 \), remainder \( 0 \), so \( 9 \) is a factor.
• For \( 10 \): \( 9\div10 = 0.9 \), not an integer, so \( 10 \) is not a factor.

Answer:

1, 3, 9