Q: What are the prime factors of the number 420,540,440?

 A: 2, 5, 10513511

Why are those the prime factors of the number 420,540,440?

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 420,540,440

420,540,440
Factor Arrows
2210,270,220
Factor Arrows
2105,135,110
Factor Arrows
252,567,555
Factor Arrows
510,513,511

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, 10513511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 10,513,511 = 420,540,440

This can also be written as 23 x 51 x 10,513,5111 = 420,540,440

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


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