Q: What are the prime factors of the number 1,655,964?

 A: 2, 3, 19, 269

Why are those the prime factors of the number 1,655,964?

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 1,655,964

1,655,964
Factor Arrows
2827,982
Factor Arrows
2413,991
Factor Arrows
3137,997
Factor Arrows
345,999
Factor Arrows
315,333
Factor Arrows
35,111
Factor Arrows
19269

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, 19, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 19 x 269 = 1,655,964

This can also be written as 22 x 34 x 191 x 2691 = 1,655,964

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


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