Math  /  Numbers & Operations

QuestionName one factor of 26 that is between 4 and 26.

Studdy Solution

STEP 1

What is this asking? Find a number that divides evenly into 26 and is between 4 and 26. Watch out! Don't just pick any number between 4 and 26!
It has to be a *factor* of 26, meaning 26 divided by that number has a remainder of zero.

STEP 2

1. Find the factors of 26
2. Check which factors are between 4 and 26

STEP 3

Let's **find the factors of 26**!
Remember, a factor is a number that divides evenly into another number.
We can start by checking small numbers and see if they divide evenly into 26.

STEP 4

Does 1 divide into 26?
Yes! 26÷1=2626 \div 1 = 26, so 1 and 26 are factors.
We can write this as 126=261 \cdot 26 = 26.

STEP 5

Next, does 2 divide into 26?
Yes! 26÷2=1326 \div 2 = 13, so 2 and 13 are factors.
We can write this as 213=262 \cdot 13 = 26.

STEP 6

Let's keep going!
Does 3 divide into 26?
Nope! 26÷326 \div 3 doesn't give us a whole number.

STEP 7

Does 4 divide into 26?
Nope! 26÷426 \div 4 doesn't give us a whole number either.

STEP 8

We can stop checking now because we've already found the factor pair 2 and 13.
Any factor larger than 13 would have to be paired with a factor smaller than 2, and we've already checked all those numbers!
So, the factors of 26 are **1, 2, 13, and 26**.

STEP 9

Now, we need to find which of these factors are between 4 and 26.
Let's check them one by one.

STEP 10

Is 1 between 4 and 26?
Nope! 1 is smaller than 4.

STEP 11

Is 2 between 4 and 26?
Nope! 2 is smaller than 4.

STEP 12

Is 13 between 4 and 26?
Yes! 13 is greater than 4 and less than 26.

STEP 13

Is 26 between 4 and 26?
Nope! It's equal to 26, but we need a factor *between* 4 and 26.

STEP 14

The factor of 26 that is between 4 and 26 is **13**!

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