Q: What are the prime factors of the number 53,211,230?

 A: 2, 5, 29, 183487

Why are those the prime factors of the number 53,211,230?

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 53,211,230

53,211,230
Factor Arrows
226,605,615
Factor Arrows
55,321,123
Factor Arrows
29183,487

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, 5, 29, 183487

We can check our work by multiplying all of the prime factors together: 2 x 5 x 29 x 183,487 = 53,211,230

This can also be written as 21 x 51 x 291 x 183,4871 = 53,211,230

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


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