Q: What are the prime factors of the number 55,671,240?

 A: 2, 3, 5, 43, 10789

Why are those the prime factors of the number 55,671,240?

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 55,671,240

55,671,240
Factor Arrows
227,835,620
Factor Arrows
213,917,810
Factor Arrows
26,958,905
Factor Arrows
32,319,635
Factor Arrows
5463,927
Factor Arrows
4310,789

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, 3, 5, 43, 10789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 43 x 10,789 = 55,671,240

This can also be written as 23 x 31 x 51 x 431 x 10,7891 = 55,671,240

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


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