Q: What are the prime factors of the number 55,053,570?

 A: 2, 3, 5, 11, 13, 41, 313

Why are those the prime factors of the number 55,053,570?

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 55,053,570

55,053,570
Factor Arrows
227,526,785
Factor Arrows
39,175,595
Factor Arrows
51,835,119
Factor Arrows
11166,829
Factor Arrows
1312,833
Factor Arrows
41313

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, 11, 13, 41, 313

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 11 x 13 x 41 x 313 = 55,053,570

This can also be written as 21 x 31 x 51 x 111 x 131 x 411 x 3131 = 55,053,570

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


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