Q: What are the prime factors of the number 464,265?

 A: 3, 5, 19, 181

Why are those the prime factors of the number 464,265?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 464,265

464,265
Factor Arrows
3154,755
Factor Arrows
351,585
Factor Arrows
317,195
Factor Arrows
53,439
Factor Arrows
19181

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 5, 19, 181

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 19 x 181 = 464,265

This can also be written as 33 x 51 x 191 x 1811 = 464,265

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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