Q: What are the prime factors of the number 40,554,220?

 A: 2, 5, 7, 37, 7829

Why are those the prime factors of the number 40,554,220?

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 40,554,220

40,554,220
Factor Arrows
220,277,110
Factor Arrows
210,138,555
Factor Arrows
52,027,711
Factor Arrows
7289,673
Factor Arrows
377,829

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, 7, 37, 7829

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 37 x 7,829 = 40,554,220

This can also be written as 22 x 51 x 71 x 371 x 7,8291 = 40,554,220

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


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