Q: What are the prime factors of the number 2,003,552?

 A: 2, 17, 29, 127

Why are those the prime factors of the number 2,003,552?

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 2,003,552

2,003,552
Factor Arrows
21,001,776
Factor Arrows
2500,888
Factor Arrows
2250,444
Factor Arrows
2125,222
Factor Arrows
262,611
Factor Arrows
173,683
Factor Arrows
29127

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, 17, 29, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 17 x 29 x 127 = 2,003,552

This can also be written as 25 x 171 x 291 x 1271 = 2,003,552

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


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