Q: What are the prime factors of the number 421,432,120?

 A: 2, 5, 10535803

Why are those the prime factors of the number 421,432,120?

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 421,432,120

421,432,120
Factor Arrows
2210,716,060
Factor Arrows
2105,358,030
Factor Arrows
252,679,015
Factor Arrows
510,535,803

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, 10535803

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 10,535,803 = 421,432,120

This can also be written as 23 x 51 x 10,535,8031 = 421,432,120

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


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