Q: What are the prime factors of the number 61,969,360?

 A: 2, 5, 23, 33679

Why are those the prime factors of the number 61,969,360?

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 61,969,360

61,969,360
Factor Arrows
230,984,680
Factor Arrows
215,492,340
Factor Arrows
27,746,170
Factor Arrows
23,873,085
Factor Arrows
5774,617
Factor Arrows
2333,679

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, 23, 33679

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 23 x 33,679 = 61,969,360

This can also be written as 24 x 51 x 231 x 33,6791 = 61,969,360

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


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