Q: What are the prime factors of the number 52,522,335?

 A: 3, 5, 29, 167, 241

Why are those the prime factors of the number 52,522,335?

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 52,522,335

52,522,335
Factor Arrows
317,507,445
Factor Arrows
35,835,815
Factor Arrows
51,167,163
Factor Arrows
2940,247
Factor Arrows
167241

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, 29, 167, 241

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 29 x 167 x 241 = 52,522,335

This can also be written as 32 x 51 x 291 x 1671 x 2411 = 52,522,335

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


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