Q: What are the prime factors of the number 1,535,550?

 A: 2, 3, 5, 29, 353

Why are those the prime factors of the number 1,535,550?

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 1,535,550

1,535,550
Factor Arrows
2767,775
Factor Arrows
3255,925
Factor Arrows
551,185
Factor Arrows
510,237
Factor Arrows
29353

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, 5, 29, 353

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 29 x 353 = 1,535,550

This can also be written as 21 x 31 x 52 x 291 x 3531 = 1,535,550

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


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