Q: What are the prime factors of the number 405,435,544?

 A: 2, 29, 157, 11131

Why are those the prime factors of the number 405,435,544?

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 405,435,544

405,435,544
Factor Arrows
2202,717,772
Factor Arrows
2101,358,886
Factor Arrows
250,679,443
Factor Arrows
291,747,567
Factor Arrows
15711,131

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, 29, 157, 11131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 29 x 157 x 11,131 = 405,435,544

This can also be written as 23 x 291 x 1571 x 11,1311 = 405,435,544

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


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