Q: What are the prime factors of the number 551,422,024?

 A: 2, 43, 59, 101, 269

Why are those the prime factors of the number 551,422,024?

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 551,422,024

551,422,024
Factor Arrows
2275,711,012
Factor Arrows
2137,855,506
Factor Arrows
268,927,753
Factor Arrows
431,602,971
Factor Arrows
5927,169
Factor Arrows
101269

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, 43, 59, 101, 269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 43 x 59 x 101 x 269 = 551,422,024

This can also be written as 23 x 431 x 591 x 1011 x 2691 = 551,422,024

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


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