Q: What are the prime factors of the number 1,371,520?

 A: 2, 5, 2143

Why are those the prime factors of the number 1,371,520?

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 1,371,520

1,371,520
Factor Arrows
2685,760
Factor Arrows
2342,880
Factor Arrows
2171,440
Factor Arrows
285,720
Factor Arrows
242,860
Factor Arrows
221,430
Factor Arrows
210,715
Factor Arrows
52,143

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, 5, 2143

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 2,143 = 1,371,520

This can also be written as 27 x 51 x 2,1431 = 1,371,520

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


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