Q: What are the prime factors of the number 55,443,934?

 A: 2, 7, 13, 31, 317

Why are those the prime factors of the number 55,443,934?

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 55,443,934

55,443,934
Factor Arrows
227,721,967
Factor Arrows
73,960,281
Factor Arrows
13304,637
Factor Arrows
319,827
Factor Arrows
31317

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, 13, 31, 317

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 31 x 31 x 317 = 55,443,934

This can also be written as 21 x 71 x 131 x 312 x 3171 = 55,443,934

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


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