Q: What are the prime factors of the number 53,754,219?

 A: 3, 139, 14323

Why are those the prime factors of the number 53,754,219?

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 53,754,219

53,754,219
Factor Arrows
317,918,073
Factor Arrows
35,972,691
Factor Arrows
31,990,897
Factor Arrows
13914,323

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, 139, 14323

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 139 x 14,323 = 53,754,219

This can also be written as 33 x 1391 x 14,3231 = 53,754,219

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


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