Q: What are the prime factors of the number 44,035,312?

 A: 2, 19, 41, 3533

Why are those the prime factors of the number 44,035,312?

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 44,035,312

44,035,312
Factor Arrows
222,017,656
Factor Arrows
211,008,828
Factor Arrows
25,504,414
Factor Arrows
22,752,207
Factor Arrows
19144,853
Factor Arrows
413,533

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, 19, 41, 3533

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 41 x 3,533 = 44,035,312

This can also be written as 24 x 191 x 411 x 3,5331 = 44,035,312

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


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