Q: What are the prime factors of the number 538,858,452?

 A: 2, 3, 11, 17, 439, 547

Why are those the prime factors of the number 538,858,452?

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 538,858,452

538,858,452
Factor Arrows
2269,429,226
Factor Arrows
2134,714,613
Factor Arrows
344,904,871
Factor Arrows
114,082,261
Factor Arrows
17240,133
Factor Arrows
439547

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:

2, 3, 11, 17, 439, 547

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 11 x 17 x 439 x 547 = 538,858,452

This can also be written as 22 x 31 x 111 x 171 x 4391 x 5471 = 538,858,452

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


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