Q: What are the prime factors of the number 53,384,850?

 A: 2, 3, 5, 118633

Why are those the prime factors of the number 53,384,850?

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 53,384,850

53,384,850
Factor Arrows
226,692,425
Factor Arrows
38,897,475
Factor Arrows
32,965,825
Factor Arrows
5593,165
Factor Arrows
5118,633

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, 3, 5, 118633

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 118,633 = 53,384,850

This can also be written as 21 x 32 x 52 x 118,6331 = 53,384,850

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


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