Q: What are the prime factors of the number 45,574,120?

 A: 2, 5, 1139353

Why are those the prime factors of the number 45,574,120?

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 45,574,120

45,574,120
Factor Arrows
222,787,060
Factor Arrows
211,393,530
Factor Arrows
25,696,765
Factor Arrows
51,139,353

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, 1139353

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 1,139,353 = 45,574,120

This can also be written as 23 x 51 x 1,139,3531 = 45,574,120

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


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