Q: What are the prime factors of the number 1,835,424?

 A: 2, 3, 6373

Why are those the prime factors of the number 1,835,424?

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 1,835,424

1,835,424
Factor Arrows
2917,712
Factor Arrows
2458,856
Factor Arrows
2229,428
Factor Arrows
2114,714
Factor Arrows
257,357
Factor Arrows
319,119
Factor Arrows
36,373

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, 6373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 3 x 6,373 = 1,835,424

This can also be written as 25 x 32 x 6,3731 = 1,835,424

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


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