Q: What are the prime factors of the number 52,051,552?

 A: 2, 7, 17, 13669

Why are those the prime factors of the number 52,051,552?

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 52,051,552

52,051,552
Factor Arrows
226,025,776
Factor Arrows
213,012,888
Factor Arrows
26,506,444
Factor Arrows
23,253,222
Factor Arrows
21,626,611
Factor Arrows
7232,373
Factor Arrows
1713,669

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, 17, 13669

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 17 x 13,669 = 52,051,552

This can also be written as 25 x 71 x 171 x 13,6691 = 52,051,552

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


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