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.
Factors Calculator
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
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| Factor Pairs of 60 |
| Factor Pairs of 66 |
| Factors of 70 |
