Q: What are the prime factors of the number 17,803,835?

 A: 5, 7, 47, 79, 137

Why are those the prime factors of the number 17,803,835?

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 17,803,835

17,803,835
Factor Arrows
53,560,767
Factor Arrows
7508,681
Factor Arrows
4710,823
Factor Arrows
79137

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:

5, 7, 47, 79, 137

We can check our work by multiplying all of the prime factors together: 5 x 7 x 47 x 79 x 137 = 17,803,835

This can also be written as 51 x 71 x 471 x 791 x 1371 = 17,803,835

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


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