Q: What are the prime factors of the number 6,019,376?

 A: 2, 11, 23, 1487

Why are those the prime factors of the number 6,019,376?

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 6,019,376

6,019,376
Factor Arrows
23,009,688
Factor Arrows
21,504,844
Factor Arrows
2752,422
Factor Arrows
2376,211
Factor Arrows
1134,201
Factor Arrows
231,487

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, 11, 23, 1487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 23 x 1,487 = 6,019,376

This can also be written as 24 x 111 x 231 x 1,4871 = 6,019,376

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


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