Q: What are the prime factors of the number 1,835,776?

 A: 2, 71, 101

Why are those the prime factors of the number 1,835,776?

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 1,835,776

1,835,776
Factor Arrows
2917,888
Factor Arrows
2458,944
Factor Arrows
2229,472
Factor Arrows
2114,736
Factor Arrows
257,368
Factor Arrows
228,684
Factor Arrows
214,342
Factor Arrows
27,171
Factor Arrows
71101

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, 71, 101

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 2 x 71 x 101 = 1,835,776

This can also be written as 28 x 711 x 1011 = 1,835,776

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


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