Q: What are the prime factors of the number 1,557,150?

 A: 2, 3, 5, 7, 1483

Why are those the prime factors of the number 1,557,150?

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 1,557,150

1,557,150
Factor Arrows
2778,575
Factor Arrows
3259,525
Factor Arrows
551,905
Factor Arrows
510,381
Factor Arrows
71,483

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, 7, 1483

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 7 x 1,483 = 1,557,150

This can also be written as 21 x 31 x 52 x 71 x 1,4831 = 1,557,150

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


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