Q: What are the prime factors of the number 55,475,776?

 A: 2, 181, 4789

Why are those the prime factors of the number 55,475,776?

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 55,475,776

55,475,776
Factor Arrows
227,737,888
Factor Arrows
213,868,944
Factor Arrows
26,934,472
Factor Arrows
23,467,236
Factor Arrows
21,733,618
Factor Arrows
2866,809
Factor Arrows
1814,789

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, 181, 4789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 181 x 4,789 = 55,475,776

This can also be written as 26 x 1811 x 4,7891 = 55,475,776

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


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