Q: What are the prime factors of the number 1,575,520?

 A: 2, 5, 43, 229

Why are those the prime factors of the number 1,575,520?

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 1,575,520

1,575,520
Factor Arrows
2787,760
Factor Arrows
2393,880
Factor Arrows
2196,940
Factor Arrows
298,470
Factor Arrows
249,235
Factor Arrows
59,847
Factor Arrows
43229

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, 43, 229

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 43 x 229 = 1,575,520

This can also be written as 25 x 51 x 431 x 2291 = 1,575,520

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


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