Q: What are the prime factors of the number 454,421,012?

 A: 2, 1019, 111487

Why are those the prime factors of the number 454,421,012?

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 454,421,012

454,421,012
Factor Arrows
2227,210,506
Factor Arrows
2113,605,253
Factor Arrows
1,019111,487

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, 1019, 111487

We can check our work by multiplying all of the prime factors together: 2 x 2 x 1,019 x 111,487 = 454,421,012

This can also be written as 22 x 1,0191 x 111,4871 = 454,421,012

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


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