Q: What are the prime factors of the number 5,241,376?

 A: 2, 7, 23399

Why are those the prime factors of the number 5,241,376?

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 5,241,376

5,241,376
Factor Arrows
22,620,688
Factor Arrows
21,310,344
Factor Arrows
2655,172
Factor Arrows
2327,586
Factor Arrows
2163,793
Factor Arrows
723,399

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, 23399

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 7 x 23,399 = 5,241,376

This can also be written as 25 x 71 x 23,3991 = 5,241,376

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


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