Q: What are the prime factors of the number 51,552,440?

 A: 2, 5, 887, 1453

Why are those the prime factors of the number 51,552,440?

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 51,552,440

51,552,440
Factor Arrows
225,776,220
Factor Arrows
212,888,110
Factor Arrows
26,444,055
Factor Arrows
51,288,811
Factor Arrows
8871,453

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, 887, 1453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 887 x 1,453 = 51,552,440

This can also be written as 23 x 51 x 8871 x 1,4531 = 51,552,440

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


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