Q: What are the prime factors of the number 562,226,560?

 A: 2, 5, 7, 125497

Why are those the prime factors of the number 562,226,560?

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 562,226,560

562,226,560
Factor Arrows
2281,113,280
Factor Arrows
2140,556,640
Factor Arrows
270,278,320
Factor Arrows
235,139,160
Factor Arrows
217,569,580
Factor Arrows
28,784,790
Factor Arrows
24,392,395
Factor Arrows
5878,479
Factor Arrows
7125,497

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, 125497

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 125,497 = 562,226,560

This can also be written as 27 x 51 x 71 x 125,4971 = 562,226,560

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


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