Q: What are the prime factors of the number 55,503,040?

 A: 2, 5, 107, 1621

Why are those the prime factors of the number 55,503,040?

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 55,503,040

55,503,040
Factor Arrows
227,751,520
Factor Arrows
213,875,760
Factor Arrows
26,937,880
Factor Arrows
23,468,940
Factor Arrows
21,734,470
Factor Arrows
2867,235
Factor Arrows
5173,447
Factor Arrows
1071,621

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, 107, 1621

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 5 x 107 x 1,621 = 55,503,040

This can also be written as 26 x 51 x 1071 x 1,6211 = 55,503,040

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


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