Q: What are the prime factors of the number 44,000,154?

 A: 2, 3, 11, 61, 3643

Why are those the prime factors of the number 44,000,154?

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 44,000,154

44,000,154
Factor Arrows
222,000,077
Factor Arrows
37,333,359
Factor Arrows
32,444,453
Factor Arrows
11222,223
Factor Arrows
613,643

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, 3, 11, 61, 3643

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 11 x 61 x 3,643 = 44,000,154

This can also be written as 21 x 32 x 111 x 611 x 3,6431 = 44,000,154

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


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