Q: What are the prime factors of the number 53,776,512?

 A: 2, 3, 46681

Why are those the prime factors of the number 53,776,512?

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 53,776,512

53,776,512
Factor Arrows
226,888,256
Factor Arrows
213,444,128
Factor Arrows
26,722,064
Factor Arrows
23,361,032
Factor Arrows
21,680,516
Factor Arrows
2840,258
Factor Arrows
2420,129
Factor Arrows
3140,043
Factor Arrows
346,681

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, 46681

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 2 x 3 x 3 x 46,681 = 53,776,512

This can also be written as 27 x 32 x 46,6811 = 53,776,512

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


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