Q: What are the prime factors of the number 1,571,402?

 A: 2, 7, 107, 1049

Why are those the prime factors of the number 1,571,402?

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 1,571,402

1,571,402
Factor Arrows
2785,701
Factor Arrows
7112,243
Factor Arrows
1071,049

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, 7, 107, 1049

We can check our work by multiplying all of the prime factors together: 2 x 7 x 107 x 1,049 = 1,571,402

This can also be written as 21 x 71 x 1071 x 1,0491 = 1,571,402

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


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