Q: What are the prime factors of the number 55,402,256?

 A: 2, 7, 13, 2927

Why are those the prime factors of the number 55,402,256?

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 55,402,256

55,402,256
Factor Arrows
227,701,128
Factor Arrows
213,850,564
Factor Arrows
26,925,282
Factor Arrows
23,462,641
Factor Arrows
7494,663
Factor Arrows
1338,051
Factor Arrows
132,927

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, 7, 13, 2927

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 13 x 13 x 2,927 = 55,402,256

This can also be written as 24 x 71 x 132 x 2,9271 = 55,402,256

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


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