Q: What are the prime factors of the number 5,343,712?

 A: 2, 11, 17, 19, 47

Why are those the prime factors of the number 5,343,712?

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 5,343,712

5,343,712
Factor Arrows
22,671,856
Factor Arrows
21,335,928
Factor Arrows
2667,964
Factor Arrows
2333,982
Factor Arrows
2166,991
Factor Arrows
1115,181
Factor Arrows
17893
Factor Arrows
1947

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, 17, 19, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 11 x 17 x 19 x 47 = 5,343,712

This can also be written as 25 x 111 x 171 x 191 x 471 = 5,343,712

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


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