Q: What are the prime factors of the number 53,425,036?

 A: 2, 7, 19, 233, 431

Why are those the prime factors of the number 53,425,036?

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 53,425,036

53,425,036
Factor Arrows
226,712,518
Factor Arrows
213,356,259
Factor Arrows
71,908,037
Factor Arrows
19100,423
Factor Arrows
233431

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, 7, 19, 233, 431

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 233 x 431 = 53,425,036

This can also be written as 22 x 71 x 191 x 2331 x 4311 = 53,425,036

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


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