Q: What are the prime factors of the number 1,071,420?

 A: 2, 3, 5, 7, 2551

Why are those the prime factors of the number 1,071,420?

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 1,071,420

1,071,420
Factor Arrows
2535,710
Factor Arrows
2267,855
Factor Arrows
389,285
Factor Arrows
517,857
Factor Arrows
72,551

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, 2551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 2,551 = 1,071,420

This can also be written as 22 x 31 x 51 x 71 x 2,5511 = 1,071,420

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


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