# Factors of 69

Factors of a number are integers that can divide that number without leaving a remainder. To find the factors of 69, we need to test all integers from 1 to 69 to see which numbers divide 69 exactly.

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## What is the Factors of 69?

The factors of 69 are:

1 because 1 divides every number.

3 because 69 divided by 3 equals 23, with no remainder.

23 because 69 divided by 23 equals 3, with no remainder.

69 because every number is divisible by itself.

### Factor Pairs of 69

Factor pairs are two numbers that, when multiplied together, equal 69.

These pairs come from the factors listed above.

The factor pairs of 69 are:

(1, 69) because 1 x 69 = 69

(3, 23) because 3 x 23 = 69

### Prime Factorization of 69

Prime factorization involves breaking down a number into its prime factors, which are the prime numbers that multiply together to result in the original number.

For 69:

We start by dividing 69 by the smallest prime number, which is 2.

Next, we try 3. Dividing 69 by 3 gives us 23 with no remainder.

The quotient, 23, is a prime number itself, so we stop here.

Thus, the prime factorization of 69 is 3 x 23.

## Factor Tree of 69

A factor tree is a graphical representation showing how a number is broken down into its prime factors. Here’s a simple factor tree for 69.

``````       69
/    \
3     23``````

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