Q: What are the prime factors of the number 554,442,240?

 A: 2, 3, 5, 11, 6563

Why are those the prime factors of the number 554,442,240?

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 554,442,240

554,442,240
Factor Arrows
2277,221,120
Factor Arrows
2138,610,560
Factor Arrows
269,305,280
Factor Arrows
234,652,640
Factor Arrows
217,326,320
Factor Arrows
28,663,160
Factor Arrows
24,331,580
Factor Arrows
22,165,790
Factor Arrows
21,082,895
Factor Arrows
3360,965
Factor Arrows
572,193
Factor Arrows
116,563

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, 3, 5, 11, 6563

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 2 x 2 x 3 x 5 x 11 x 6,563 = 554,442,240

This can also be written as 29 x 31 x 51 x 111 x 6,5631 = 554,442,240

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


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