Q: What are the prime factors of the number 53,169,088?

 A: 2, 7, 118681

Why are those the prime factors of the number 53,169,088?

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 53,169,088

53,169,088
Factor Arrows
226,584,544
Factor Arrows
213,292,272
Factor Arrows
26,646,136
Factor Arrows
23,323,068
Factor Arrows
21,661,534
Factor Arrows
2830,767
Factor Arrows
7118,681

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, 118681

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 7 x 118,681 = 53,169,088

This can also be written as 26 x 71 x 118,6811 = 53,169,088

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


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