Q: What are the prime factors of the number 55,232,450?

 A: 2, 5, 7, 13, 61, 199

Why are those the prime factors of the number 55,232,450?

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 55,232,450

55,232,450
Factor Arrows
227,616,225
Factor Arrows
55,523,245
Factor Arrows
51,104,649
Factor Arrows
7157,807
Factor Arrows
1312,139
Factor Arrows
61199

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, 13, 61, 199

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 13 x 61 x 199 = 55,232,450

This can also be written as 21 x 52 x 71 x 131 x 611 x 1991 = 55,232,450

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


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